Updated on 2025/10/24

写真a

 
YAMAMURA Kiyotaka
 
Organization
Faculty of Science and Engineering Professor
Other responsible organization
Electrical, Electronic, and Communication Engineering Course of Graduate School of Science and Engineering, Master's Program
Electrical Engineering and Information Systems Course of Graduate School of Science and Engineering, Doctoral Program
Contact information
The inquiry by e-mail is 《here
Profile
Kiyotaka Yamamura was born in Tokyo, Japan, on December 19, 1959. He received the B.E., M.E., and D.E. degrees, all in electronics and communication engineering, from Waseda University, Tokyo, Japan, in 1982, 1984, and 1987, respectively. From 1985 to 1987, he was a Research Assistant with the School of Science and Engineering, Waseda University. From 1988 to 1998, he was an Associate Professor with the Department of Computer Science, Gunma University, Kiryu, Japan. Since 1999, he has been a Professor with the Department of Electrical, Electronic, and Communication Engineering, Chuo University, Tokyo, Japan. His research interests include numerical analysis of nonlinear circuits and systems. From 2009 to 2010, he was a chair of the IEICE Technical Committee on Nonlinear Problems. He received the Niwa Memorial Award from the Niwa Memorial Foundation in 1986, the Shinohara Memorial Young Engineer Award from IEICE in 1986, the Inoue Research Award for Young Scientists from the Inoue Foundation in 1989, the TELECOM System Technology Awards from the Telecommunications Advancement Foundation in 1990, 1999, and 2002, the Best Paper Award from IEICE in 1999, the IBM Japan Science Prize in 1999, the Ohm Technology Award from the Promotion Foundation for Electrical Science and Engineering in 2000, the Achievement Award from the Information Processing Society of Japan (IPSJ) in 2003, the Funai Information Technology Prize from the Funai Foundation for Information Technology in 2004, the Ichimura Prize in Technology (Meritorious Achievement Prize) from the New Technology Development Foundation in 2004, the IEEE ICCCAS Best Paper Award in 2007, and the IEEE APCCAS Best Paper Award in 2016. He also received the Research Award of Chuo University in 2000, 2001, 2003, 2004, 2005, 2008, and 2017. Dr. Yamamura is a Fellow of IEICE.
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Degree

  • 工学博士 ( 早稲田大学 )

Education

  • 1987.3
     

    Waseda University   Graduate School, Division of Science and Engineering   doctor course   completed

  • 1982.3
     

    Waseda University   School of Science and Engineering   graduated

Research History

  • 1999.4 - 2008.3

    上智大学理工学部電気・電子工学科 非常勤講師   Faculty of Science and Technology

  • 1999.4 -  

    中央大学理工学部電気電子情報通信工学科 教授

  • 1999.4 -  

    ~ 中央大学理工学部電気電子情報通信工学科 教授

  • 1998.4 - 1999.3

    中央大学理工学部電気電子情報通信工学科 助教授   Faculty of Science and Engineering, Department of Electrical, Electronic, and Communication Engineering

  • 1997.4 - 1998.3

    中央大学大学院理工学研究科電気電子工学専攻 兼任講師

  • 1997.4 - 1998.3

    中央大学大学院理工学研究科電気電子工学専攻 兼任講師

  • 1988.1 - 1998.3

    群馬大学工学部情報工学科 助教授

  • 1988.1 - 1998.3

    群馬大学工学部情報工学科 助教授

  • 1990.4 - 1993.3

    中央大学理工学部管理工学科 兼任講師   Faculty of Science and Engineering

  • 1985.4 - 1987.12

    早稲田大学理工学部 助手   School of Science and Engineering

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Professional Memberships

  • 電子情報通信学会

  • 米国電気電子学会

  • Treasurer of IEEE Circuits and Systems Society Tokyo Chapter

  • Member of the Technical Program Committee of 1991 IEEE International Symposium on Circuits and Systems

Research Interests

  • "Numerical Computation,Computer simulations"

  • Numerical computation Computer simulations

  • 数値計算

  • 計算機シミュレーション

  • Numerical Computation,Computer simulations

Research Areas

  • Informatics / High performance computing

Papers

  • An efficient algorithm for finding all solutions of nonlinear equations using parallelogram LP test Reviewed

    Kiyotaka Yamamura

    Journal of Computational and Applied Mathematics   382   113080   2021.4

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Elsevier  

    This paper presents an efficient algorithm for finding all solutions of nonlinear equations using linear programming. This algorithm is based on a simple test (called the LP test) for nonexistence of a solution to a system of nonlinear equations in a given region. In the conventional LP test, a system of nonlinear equations is formulated as a linear programming problem by surrounding component nonlinear functions by rectangles. In the proposed algorithm, we first use rectangles, and when the nonlinearity of functions becomes weak, we switch to parallelograms. It is shown that we can use the dual simplex method throughout the algorithm by applying the variable transformation to the oblique coordinate system, by which the LP test becomes more efficient. Moreover, since polygons with proper sizes are used, the LP test becomes more powerful. By numerical examples, it is shown that the proposed algorithm is more efficient than the conventional algorithms using rectangles only or parallelograms only. We also consider the special case where component nonlinear functions are locally convex and monotone, and propose an efficient LP test algorithm using rectangles and triangles.

    DOI: 10.1016/j.cam.2020.113080

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  • Finding All Characteristic Curves of Piecewise-Linear Resistive Circuits Using an Integer Programming Solver Reviewed

    Takumi Kuramoto, Kiyotaka Yamamura

    Proceedings of 2019 IEEE Workshop on Nonlinear Circuit Networks   79 - 82   2019.12

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    Language:English   Publishing type:Research paper (international conference proceedings)   Publisher:IEEE  

    A simple and efficient method is proposed for finding all characteristic curves of piecewise-linear resistive circuits using an integer programming solver. In this method, the problem of finding all characteristic curves is formulated into a mixed integer programming problem, and it is solved by an integer programming solver CPLEX. It is shown that the proposed method can be implemented easily without writing complicated programs. It is also shown that all characteristic curves are obtained by solving a mixed integer programming problem only once. Numerical examples are given to confirm the effectiveness of the proposed method.

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  • An efficient method for finding all characteristic curves of piecewise-linear resistive circuits using integer programming Reviewed

    Takumi Kuramoto, Kiyotaka Yamamura

    Proceedings of 2019 IEEE Asia Pacific Conference on Circuits and Systems, PrimeAsia 2019   41 - 44   2019.11

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    Language:English   Publishing type:Research paper (international conference proceedings)   Publisher:IEEE  

    DOI: 10.1109/PrimeAsia47521.2019.8950733

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  • Gratitude to homotopy methods and longing for all solutions Invited

    Kiyotaka Yamamura

    電子情報通信学会総合大会ソサイエティ特別企画フェロー記念講演会   NK-1-1   2019.4

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    Language:Japanese   Publishing type:Research paper (conference, symposium, etc.)   Publisher:IEICE  

    2017年3月に電子情報通信学会からフェロー称号を戴き,大変光栄に感じております.ご推薦の労をお取りいただいた方々,並びにこれまでご指導いただいた方々に心から御礼申し上げます.あらためて自分は,人との出会いに恵まれて生きてきた人間だなと感じます.これからも微力ながら専門分野の発展のために尽くしていきたいと思います.
    本稿では,これまでの38年間に行ってきた研究活動の一部を紹介させていただきます.

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  • Finding all solutions of piecewise-linear resistive circuits using rectangular and triangular LP tests Reviewed

    Kiyotaka Yamamura, Hiroki Takahara

    Proceedings of 2018 IEEE Workshop on Nonlinear Circuit Networks   62 - 65   2018.12

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  • An efficient method for finding all characteristic curves of piecewise-linear resistive circuits using integer programming Reviewed

    Kiyotaka Yamamura, Yuichiro Takane

    Proceedings of 2018 IEEE Workshop on Nonlinear Circuit Networks   66 - 69   2018.12

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  • Finding all solutions of piecewise-linear resistive circuits using triangular LP test Reviewed

    Kiyotaka Yamamura, Hiroki Takahara

    Proceedings of 2018 IEEE Asia Pacific Conference on Circuits and Systems   243 - 246   2018.10

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    Language:English   Publishing type:Research paper (international conference proceedings)   Publisher:IEEE, Chengdu, China  

    DOI: 10.1109/APCCAS.2018.8605636

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  • Finding all solutions of weakly nonlinear equations using the dual simplex method Reviewed

    Kiyotaka Yamamura, Katsumasa Tanaka

    Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)   89 ( 7 )   1 - 7   2006.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/ecjc.20220

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  • Finding all characteristic curves of nonlinear resistive circuits using linear programming Reviewed

    K Yamamura, F Gunawan, K Yomogita

    ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE   84 ( 6 )   1 - 11   2001

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • Finding all solutions of piecewise-linear circuits by using linear programming Reviewed

    K Yamamura, S Tanaka

    ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE   84 ( 7 )   1 - 11   2001

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  • Finding all solutions of nonlinear resistive circuits by interval analysis Reviewed

    K Yamamura, A Tokue, H Kawata

    ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE   80 ( 7 )   28 - 36   1997.7

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  • Improving the efficiency of interval analysis by Kevorkian's decomposition technique Reviewed

    Kiyotaka Yamamura, Akio Ushida, Kazuo Horiuchi

    Electronics and Communications in Japan (Part III: Fundamental Electronic Science)   75 ( 2 )   36 - 46   1992

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    DOI: 10.1002/ecjc.4430750204

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  • Rectangular algorithm for computing the capacity of arbitrary discrete memoryless channels

    Kiyotaka Yamamura, Kenjirou Fukuyama, Kazuo Horiuchi

    Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)   74 ( 2 )   1 - 9   1991.2

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  • A piecewise‐linear homotopy method for nonlinear programming Reviewed

    Kiyotaka Yamamura, Kaori Arai, Masahiro Kiyoi

    Electronics and Communications in Japan (Part III: Fundamental Electronic Science)   74 ( 10 )   28 - 38   1991

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    DOI: 10.1002/ecjc.4430741004

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  • A newton algorithm for steady‐state analysis of nonlinear oscillatory circuits Reviewed

    Kiyotaka Yamamura, Kazuo Horiuchi

    Electronics and Communications in Japan (Part I: Communications)   71 ( 6 )   10 - 22   1988

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/ecja.4410710602

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Books

  • An efficient homotopy method that can be easily implemented on SPICE

    Proceedings of IEEE 2006 International Symposium on Circuits and Systems  2006 

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  • An efficient and globally convergent homotopy method for finding DC operating points of nonlinear circuits

    Proceedings of the 11th Asia and South Pacific Design Automation Conference  2006 

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  • 電気工学ハンドブック

    山村清隆( Role: Sole author)

    オーム社  2000.4 

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    Language:Japanese   Book type:Scholarly book

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  • IEEE電気・電子用語辞典

    山村清隆( Role: Sole author)

    丸善  1989.4 

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    Language:Japanese   Book type:Scholarly book

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  • IEEE電気・電子用語辞典(1161頁)編集委員会実行委員として翻訳の一部を担当。原著IEEE Standard Dictionary of Electrical and Electronics Terms Edited by Fank Jay, IEEE, 1984

    岡村総吾監訳, 他編集委, 実行委員, 用語委員( Role: Sole translator)

    丸善  1985.4 

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    Language:Japanese   Book type:Scholarly book

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MISC

  • An efficient variable-gain homotopy method for finding DC operating points of transistor circuits Reviewed

    Kiyotaka Yamamura, Takumi Shimada

    Proceedings of 2018 IEEE Asia Pacific Conference on Circuits and Systems   NLP2018-86   235 - 238   2018.10

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    Language:English   Publisher:IEEE, Chengdu, China  

    DOI: 10.1109/APCCAS.2018.8605634

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  • Finding all solution sets of piecewise-linear interval equations using integer programming Reviewed

    Kiyotaka Yamamura, Hiroki Takahara, Yuichiro Takane

    Proceedings of 2017 IEEE Workshop on Nonlinear Circuit Networks   78 - 81   2017.12

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    Language:English   Publisher:IEEE  

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  • 可変利得ニュートン不動点ホモトピー法を用いた非線形回路の直流動作点解析 Reviewed

    山村清隆, 伊藤麻美, 篠原そのこ

    電子情報通信学会論文誌(A)   J100-A ( 11 )   401 - 410   2017.11

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    Language:Japanese   Publisher:電子情報通信学会  

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  • Complete analysis of fiecewise-linear resistive circuits using integer programming

    Kiyotaka Yamamura, Hiroki Takahara

    2017 European Conference on Circuit Theory and Design, ECCTD 2017   2017.10

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    Language:English   Publisher:Institute of Electrical and Electronics Engineers Inc.  

    DOI: 10.1109/ECCTD.2017.8093298

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  • Finding all solution sets of piecewise-linear interval equations using integer programming

    Kiyotaka Yamamura, Ryota Watanabe

    2017 European Conference on Circuit Theory and Design, ECCTD 2017   2017.10

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    Language:English   Publisher:Institute of Electrical and Electronics Engineers Inc.  

    DOI: 10.1109/ECCTD.2017.8093317

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  • 整数計画法を用いた区分的線形抵抗回路の完全解析

    渡辺涼太, 高原弘樹, 山村清隆

    電子情報通信学会技術研究報告   CAS2017-26 ( NLP2017-51 )   11 - 16   2017.10

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    Language:Japanese   Publisher:電子情報通信学会  

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  • 整数計画ソルバーを用いた区分的線形抵抗回路の完全解析 Reviewed

    高原弘樹, 渡辺涼太, 山村清隆

    第30回 回路とシステムワークショップ論文集   243 - 248   2017.5

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  • Complete analysis of piecewise-linear resistive circuits using integer programming Reviewed

    Kiyotaka Yamamura, Ryota Watanabe, Hiroki Takahara

    Proceedings of 2016 IEEE Workshop on Nonlinear Circuit Networks   24 - 27   2016.12

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  • Finding all solution sets of piecewise-linear interval equations using integer programming Reviewed

    Kiyotaka Yamamura, Daiki Koyama, Shintaro Sato

    Proceedings of 2016 IEEE Workshop on Nonlinear Circuit Networks   28 - 31   2016.12

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  • An Algorithm for Finding All DC Solutions of Nonlinear Circuits\\ Using Trianglar LP Tests

    Kazuki Teraya, Kiyotaka Yamamura

    電子情報通信学会技術研究報告   2016-10-CAS-NLP   2016.10

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    Language:Japanese   Publisher:IEICE  

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  • Finding all solution sets of piecewise-linear interval equations using integer programming Reviewed

    Kiyotaka Yamamura, Suguru Ishiguro

    Reliable Computing   23   73 - 96   2016.7

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    Language:English   Publisher:University of Louisiana  

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  • A Simple Method for Finding All Characteristic Curves of Piecewise-Linear Resistive Circuits Using an Integer Programming Solver Reviewed

    Kiyotaka Yamamura, Suguru Ishiguro

    第29回 回路とシステムワークショップ論文集   267 - 272   2016.5

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  • A Predictor-Corrector Method Where the Problem of Jumping onto Different Solution Curves is Improved

    Yoshiaki Kinoshita, Kiyoshi Adachi, Kiyotaka Yamamura

    2016年電子情報通信学会総合大会講演論文集   2016 ( N-1-13 )   351 - 351   2016.3

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  • Characteristic Analysis and Tolerance Analysis of Nonlinear Resistive Circuits Using Integer Programming

    Kiyotaka Yamamura, Suguru Ishiguro, Hiroshi Taki

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E99A ( 3 )   710 - 719   2016.3

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  • A Simple Method for Finding All Characteristic Curves of Piecewise-Linear Resistive Circuits Using an Integer Programming Solver

    Kiyotaka Yamamura, Ryota Watanabe

    2016 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS (APCCAS)   224 - 227   2016

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  • A Modified Predictor-Corrector Method for Tracing Solution Curves

    Kiyotaka Yamamura, Kiyoshi Adachi

    2016 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS (APCCAS)   372 - 375   2016

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  • Finding All Solutions of Piecewise-Linear Resistive Circuits-Using Excel

    Kiyotaka Yamamura, Daiki Koyama

    2016 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS (APCCAS)   228 - 231   2016

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  • Finding all solutions of piecewise-linear resistive circuits using Excel Reviewed

    Daiki Koyama, Kiyotaka Yamamura

    Proceedings of 2015 IEEE Workshop on Nonlinear Circuit Networks   38 - 41   2015.12

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    Language:English   Publisher:IEEE  

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  • Complete analysis of piecewise-linear resistive circuits using CPLEX Reviewed

    Taiki Okamoto, Suguru Ishiguro, Kiyotaka Yamamura

    Proceedings of 2015 IEEE Workshop on Nonlinear Circuit Networks   30 - 33   2015.12

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  • Characteristic analysis of piecewise-linear resistive circuits using SCIP Reviewed

    Tetsuya Shiraishi, Suguru Ishiguro, Kiyotaka Yamamura

    Proceedings of 2015 IEEE Workshop on Nonlinear Circuit Networks   34 - 37   2015.12

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  • Finding All Solutions of Piecewise-Linear Circuits Using Excel

    Daiki Koyama, Suguru Ishiguro, Kiyotaka Yamamura

    2015年電子情報通信学会ソサイエティ大会講演論文集   ( A-2-20 )   45   2015.9

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    Language:Japanese   Publisher:IEICE  

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  • An Algorithm for Finding All DC Solutions of Nonlinear Circuits Using Parallelogram LP Test Reviewed

    Suguru Ishiguro, Masahiro Takamiya, Kiyotaka Yamamura

    第28回 回路とシステムワークショップ論文集   28   172 - 177   2015.8

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    Language:Japanese   Publisher:IEICE  

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  • A trapezoidal method for solving differential algebraic equations Reviewed

    Junjie Huang, Qiang Li, Kiyotaka Yamamura, Yasuaki Inoue

    Proceedings of International Technical Conference on Circuits/Systems, Computers and Communications   752 - 755   2015.7

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  • 整数計画法を用いた非線形回路の混合方程式及び状態方程式の導出

    岡本大輝, 滝裕至, 山村清隆

    2015年電子情報通信学会総合大会講演論文集   ( A-2-32 )   63   2015.3

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  • Finding All DC Solutions of Nonlinear Circuits Using Parallelogram LP Test

    Kiyotaka Yamamura, Suguru Ishiguro

    2015 EUROPEAN CONFERENCE ON CIRCUIT THEORY AND DESIGN (ECCTD)   236 - 239   2015

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  • Statistical tolerance analysis of nonlinear circuits using integer programming and set-valued functions with probability distribution Reviewed

    Suguru Ishiguro, Daiki Koyama, Kiyotaka Yamamura

    Proceedings of 2014 IEEE Workshop on Nonlinear Circuit Networks   14 - 17   2014.12

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  • 整数計画法を用いた非線形抵抗回路の特性解析と変動解析 Reviewed

    石黒俊, 滝裕至, 山村清隆

    第27回 回路とシステムワークショップ論文集   318 - 323   2014.8

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  • 可変利得ニュートン不動点ホモトピー法を用いた非線形回路の直流動作点解析

    森山慶一, 山村清隆

    電子情報通信学会技術研究報告   NLP2014-38 ( 145 )   37 - 42   2014.7

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    Language:Japanese   Publisher:電子情報通信学会  

    In the field of circuit simulation, homotopy methods have been studied by many researchers in order to overcome the non-convergence problem in DC operating point analysis. Studies on homotopy methods can be classified into four types; (i) those from the theoretical viewpoint; (ii) those from the viewpoint of path following algorithms; (iii) those from the viewpoint of implementation; and (iv) those from the viewpoint of homotopy functions. In this paper, we focus on the studies from the viewpoint of homotopy functions, overview the conventional studies, and propose a new method termed the variable-gain Newton fixed-point homotopy method. By SPICE simulation, we confirm the effectiveness of the proposed method.

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  • DC Operating Point Analysis of Transistor Circuits Using the Variable-Gain Homotopy Method

    Kiyotaka Yamamura, Takuya Miyamoto

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E97A ( 5 )   1042 - 1050   2014.5

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  • Finding All Solutions of Piecewise-Linear Resistive Circuits Using Separable Programming

    Kiyotaka Yamamura, Hideki Tanaka

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E97A ( 5 )   1037 - 1041   2014.5

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  • 一般化線形相補性理論と整数計画法を用いた区分的線形抵抗回路の完全解析 Reviewed

    山村清隆, 前田礼維, 加藤弘之

    電子情報通信学会論文誌(A)   J97-A ( 3 )   150 - 159   2014.3

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    Language:Japanese   Publisher:電子情報通信学会  

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  • Characteristic Analysis and Tolerance Analysis of Nonlinear Resistive Circuits Using Integer Programming

    Kiyotaka Yamamura, Hiroshi Taki

    2014 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS (APCCAS)   755 - 758   2014

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    Web of Science

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  • Complete analysis of piecewise-linear resistive circuits using the generalized linear complementarity theory and integer programming Reviewed

    Kiyotaka Yamamura

    Proceedings of 2013 IEEE Workshop on Nonlinear Circuit Networks   57 - 60   2013.12

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  • An algorithm for finding all DC solutions of nonlinear circuits using polygonal LP test Reviewed

    Eisuke Yukawa, Hiroshi Taki, Shota KInami, Kiyotaka Yammaura

    Proceedings of 2013 IEEE Workshop on Nonlinear Circuit Networks   51 - 54   2013.12

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  • 多角形LPテストを用いた非線形回路の全解探索法

    木南翔太, 山村清隆

    2013年電子情報通信学会ソサイエティ大会講演論文集   A - 2-4   2013.9

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  • Finding all solutions of piecewise-linear resistive circuits using separable programming Reviewed

    Kiyotaka Yamamura, Hideki Tanaka

    Proceedings of 21th IEEE European Conference on Circuit Theory and Design   2013.9

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  • 整数計画法を用いた区分的線形抵抗回路の完全解析

    高木謙吾, 滝裕至, 前田礼維, 山村清隆

    2013年電子情報通信学会ソサイエティ大会講演論文集   A - 2-3   2013.9

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  • An efficient variable-gain homotopy method for DC operating point analysis of transistor circuits Reviewed

    Fumiya Okimori, Yudai Yamamoto, Takuya Miyamoto, Kiyotaka Yamamura

    第26回 回路とシステムワークショップ論文集   26   391 - 396   2013.7

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  • Formulating hybrid equations and state equations for nonlinear circuits using SPICE

    Kiyotaka Yamamura, Mitsuru Tonokura

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   41 ( 1 )   101 - 110   2013.1

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    Language:English   Publishing type:Rapid communication, short report, research note, etc. (scientific journal)  

    DOI: 10.1002/cta.788

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  • Finding all solutions of piecewise-linear resistive circuits using separable programming Reviewed

    Hideki Tanaka, Hiroyuki Kato, Kiyotaka Yamamura

    Proceedings of 2012 IEEE Workshop on Nonlinear Circuit Networks   67 - 70   2012.12

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  • 一般化線形相補性理論と混合整数計画法を用いた区分的線形抵抗回路の完全解析

    前田礼維, 加藤弘之, 山村清隆

    電子情報通信学会技術研究報告   NLP2012-80 ( 301 )   23 - 28   2012.11

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    Language:Japanese   Publisher:The Institute of Electronics, Information and Communication Engineers  

    It is well known that the geometry of the solution set of a piecewise-linear resistive circuits can be very complicated. The circuit can have multiple solutions, the solution set can be continuous or unbounded, the driving-point plot can consist of the full square plus unbounded branches. Finding all solution sets of such circuits is called the complete analysis. In this paper, an easily implemented method is proposed for the complete analysis of piecewise-linear resistive circuits. In this method, a piecewise-linear resistive circuit is first described by a generalized linear complementarity problem, and then it is formulated as a mixed integer programming problem. Then, it is solved by a high-performance integer programming solver such as SCIP or CPLEX. The proposed method can be easily implemented without making complicated programs. The effectiveness of the proposed method is confirmed by numerical examples.

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  • The use of extrapolation in the computation of accurate numerical solutions of nonlinear two-point boundary value problems by the shooting method Reviewed

    Kiyotaka Yamamura

    International Journal of Numerical Methods and Applications   8 ( 1 )   63 - 73   2012.9

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  • 一般化線形相補性理論と整数計画法を用いた区分的線形抵抗回路の完全解析 Reviewed

    加藤弘之, 山村清隆

    第25回 回路とシステムワークショップ論文集   25   319 - 324   2012.7

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  • DC operating point analysis of transistor circuits using the variable-gain homotopy method Reviewed

    Kiyotaka Yamamura, Takuya Miyamoto

    Proceedings of International Technical Conference on Circuits/Systems, |rn|Computers and Communications   ( 42 )   B - T3-04   2012.7

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  • SCIPを用いた区分的線形回路の全解探索法

    山村清隆, 石井孝幸

    電子情報通信学会技術研究報告   CAS2012-30   109 - 114   2012.6

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  • 可変利得ホモトピー法を用いた非線形回路の直流動作点解析 Reviewed

    若木亮馬, 山村清隆

    電子情報通信学会論文誌(A)   J95-A ( 6 )   531 - 534   2012.6

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  • Finding all solutions of separable systems of piecewise-linear equations using integer programming

    Kiyotaka Yamamura, Naoya Tamura

    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   236 ( 11 )   2844 - 2852   2012.5

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  • A-2-14 An Algorithm for Finding All Solutions of Nonlinear Circuits Using Affine Arithmetic and LP Narrowing

    Kobayashi Hiromichi, Mishima Kazuhiro, Yamamura Kiyotaka

    Proceedings of the IEICE General Conference   2012   59 - 59   2012.3

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  • DC analysis of piecewise-linear circuits using separable programming Reviewed

    Hiroyuki Kato, Kiyotaka Yamamura

    Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications   274 - 277   2011.9

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  • Quadratic convergence of the shooting method using implicit integration formulas and Newton's method Reviewed

    Kiyotaka Yamamura

    International Journal of Numerical Methods and Applications   6 ( 1 )   87 - 104   2011.9

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  • DC analysis of piecewise-linear circuits using separable programming Reviewed

    Hiroyuki Kato, Kiyotaka Yamamura

    第24回 回路とシステムワークショップ論文集   24   236 - 241   2011.8

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  • Finding all solutions of piecewise-linear resistive circuits using integer programming

    Kiyotaka Yamamura, Takahiro Ueda

    2011 20th European Conference on Circuit Theory and Design, ECCTD 2011   628 - 631   2011

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  • 可変利得ニュートンホモトピー法を用いたMOSトランジスタ回路の直流動作点解析 Reviewed

    小山裕大, 戸野倉充, 山村清隆

    電子情報通信学会論文誌(A)   J93-A ( 12 )   840 - 843   2010.12

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  • SPICEを用いた区分的線形回路の全解探索法

    加藤弘之, 田村直也, 松本廉太郎, 山村清隆

    2010年電子情報通信学会ソサイエティ大会講演論文集   A-2-6   2010.9

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  • 整数計画法を用いた区分的線形回路の全解探索法 Reviewed

    上田恭大, 田村直也, 山村清隆

    第23回 回路とシステム軽井沢ワークショップ論文集   17 - 22   2010.4

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  • Verilog-Aを用いたホモトピー法の実装

    松本廉太郎, 戸野倉充, 山村清隆

    電子情報通信学会総合大会講演論文集   A - 2-13   2010.3

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  • Finding all DC solutions of piecewise-linear circuits using integer programming Reviewed

    Kiyotaka Yamamura, Naoya Tamura, Takahiro Ueda

    Proceedings of 2009 IEEE Workshop on Nonlinear Circuit Networks   37 - 40   2009.12

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  • A globally convergent variable-gain homotopy method for solving modified nodal equations Reviewed

    Kazuma Watanabe, Kiyotaka Yamamura

    Proceedings of the 2009 International Symposium on Nonlinear Theory and its Applications   507 - 510   2009.10

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  • Formulating hybrid equations for nonlinear circuits using SPICE Reviewed

    Mitsuru Tonokura, Kiyotaka Yamamura

    Proceedings of the 2009 International Symposium on Nonlinear Theory and its Applications   515 - 518   2009.10

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  • LP narrowing: A new strategy for finding all solutions of nonlinear equations

    Kiyotaka Yamamura, Koki Suda, Naoya Tamura

    APPLIED MATHEMATICS AND COMPUTATION   215 ( 1 )   405 - 413   2009.9

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  • SPICEの過渡解析による非線形抵抗回路の混合方程式の導出 Reviewed

    戸野倉 充, 山村清隆

    第22回 回路とシステム軽井沢ワークショップ論文集   13 - 18   2009.4

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  • (招待講演)数理計画法の非線形回路解析への応用 Reviewed

    山村清隆

    第22回 回路とシステム軽井沢ワークショップ論文集   264 - 269   2009.4

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  • An Efficient and Practical Algorithm for Finding All DC Solutions of Nonlinear Circuits Using GLPK

    Kiyotaka Yamamura, Koki Suda

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E92A ( 2 )   638 - 642   2009.2

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  • An Efficient Algorithm for Finding All DC Solutions of Nonlinear Circuits Using LP Narrowing

    Kiyotaka Yamamura, Naoya Tamura, Koki Suda

    ISCAS: 2009 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-5   2081 - 2084   2009

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  • An efficient algorithm for finding all DC solutions of piecewise-linear circuits

    Kiyotaka Yamamura, Akinori Machida

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   36 ( 8 )   989 - 1000   2008.11

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    DOI: 10.1002/cta.472

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  • DC TOLERANCE ANALYSIS OF NONLINEAR CIRCUITS USING SET-VALUED FUNCTIONS

    Kiyotaka Yamamura, Yasuaki Haga

    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS   17 ( 5 )   785 - 796   2008.10

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  • LP narrowing: A new strategy for finding all solutions of nonlinear equations Reviewed

    Kiyotaka Yamamura, Naoya Tamura, Koki Suda

    Book of Abstracts, 13th GAMM -- IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics   149 - 150   2008.9

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  • ネットリストによる混合方程式の導出 Reviewed

    山村清隆, 須田広紀

    電子情報通信学会論文誌(A)   J91-A ( 7 )   739 - 743   2008.7

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  • An efficient algorithm for finding all DC solutions of piecewise-linear circuits

    IEICE Technical Report   NLP2007-166   71 - 76   2008

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  • LP narrowing: An efficient algorithm for finding all solutions of nonlinear equations Reviewed

    Koki Suda, Kiyotaka Yamamura, Naoya Tamura

    Proceedings of 2007 IEEE Workshop on Nonlinear Circuit Networks   19 - 22   2007.12

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  • SPICE-oriented homotopy methods for finding DC operating points of nonlinear circuits Reviewed

    Kiyotaka Yamamura, Wataru Kuroki

    Proceedings of 2007 IEEE Workshop on Nonlinear Circuit Networks   14 - 17   2007.12

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  • LP narrowing: An efficient algorithm for finding all solutions of nonlinear equations

    Koki Suda, Kiyotaka Yamamura, Naoya Tamura

    Proceedings of 2007 IEEE Workshop on Nonlinear Circuit Networks   19 - 22   2007.12

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  • SPICE-oriented homotopy methods for finding DC operating points of nonlinear circuits

    Kiyotaka Yamamura, Wataru Kuroki

    Proceedings of 2007 IEEE Workshop on Nonlinear Circuit Networks   14 - 17   2007.12

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  • DC Tolerance Analysis of Nonlinear Circuits Using Set-Valued Functions

    YAMAMURA Kiyotaka, HAGA Yasuaki

    IEICE technical report   107 ( 267 )   71 - 76   2007.10

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  • LP narrowing: A new strategy for finding all solutions of nonlinear equations Reviewed

    Koki Suda, Kiyotaka Yamamura

    Proceedings of the 2007 International Symposium on Nonlinear Theory and its Applications   215 ( 1 )   246 - 249   2007.9

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  • LP narrowing: A new strategy for finding all solutions of nonlinear equations

    Koki Suda, Kiyotaka Yamamura

    Proceedings of the 2007 International Symposium on Nonlinear Theory and its Applications   246 - 249   2007.9

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  • An efficient algorithm for finding all solutions of separable systems of nonlinear equations

    Kiyotaka Yamamura, Koki Suda

    BIT NUMERICAL MATHEMATICS   47 ( 3 )   681 - 691   2007.9

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  • An efficient algorithm for finding all solutions of separable systems of nonlinear equations

    Kiyotaka Yamamura, Koki Suda

    BIT NUMERICAL MATHEMATICS   47 ( 3 )   681 - 691   2007.9

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  • A SPICE-Oriented nonexistence test for DC solutions of Nonlinear circuits

    Wataru Kuroki, Kiyotaka Yamamura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E90A ( 8 )   1661 - 1668   2007.8

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  • A SPICE-Oriented nonexistence test for DC solutions of Nonlinear circuits

    Wataru Kuroki, Kiyotaka Yamamura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E90A ( 8 )   1661 - 1668   2007.8

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  • An efficient variable gain homotopy method using the SPICE-oriented approach Reviewed

    Wataru Kuroki, Kiyotaka Yamamura, Shingo Furuki

    Proceedings of the 50th IEEE International Midwest Symposium on Circuits and Systems   54 ( 7 )   710 - 713   2007.8

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  • SPICE-oriented homotopy methods for finding DC operating points of nonlinear circuits

    Wataru Kuroki, Kiyotaka Yamamura

    15th IEEE International Workshop on Nonlinear Dynamics of Electronic Systems   2007.7

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  • SPICE-oriented homotopy methods for finding DC operating points of nonlinear circuits Reviewed

    Wataru Kuroki, Kiyotaka Yamamura

    15th IEEE International Workshop on Nonlinear Dynamics of Electronic Systems   2007.7

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  • An efficient variable gain homotopy method using the SPICE-Oriented approach

    Wataru Kuroki, Kiyotaka Yamamura, Shingo Furuki

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS   54 ( 7 )   621 - 625   2007.7

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  • A SPICE-oriented nonexistence test for DC solutions of nonlinear circuits Reviewed

    Wataru Kuroki, Kiyotaka Yamamura

    Proceedings of IEEE 2007 International Conference on Communications   II   1078 - 1082   2007.7

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  • An efficient and practical algorithm for finding all DC solutions of nonlinear circuits Reviewed

    Kiyotaka Yamamura, Koki Suda

    Proceedings of IEEE 2007 International Conference on Communications   II   1111 - 1115   2007.7

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  • DC tolerance analysis of nonlinear circuits using set-valued functions Reviewed

    Kiyotaka Yamamura, Yasuaki Haga

    Proceedings of IEEE 2007 International Conference on Communications   II   1120 - 1124   2007.7

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  • An efficient and practical algorithm for finding all DC solutions of nonlinear circuits using GLPK Reviewed

    Kiyotaka Yamamura, Koki Suda

    Proceedings of the 15th IEEE International Workshop on Nonlinear Dynamics of Electronic Systems   6 - 9   2007.7

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  • An efficient and practical algorithm for finding all DC solutions of nonlinear circuits using GLPK

    Kiyotaka Yamamura, Koki Suda

    Proceedings of the 15th IEEE International Workshop on Nonlinear Dynamics of Electronic Systems   6 - 9   2007.7

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  • A-2-28 An Efficient Variable Gain Homotopy Method Using the SPICE-Oriented Approach

    Kuroki Wataru, Yamamura Kiyotaka, Furuki Shingo

    Proceedings of the IEICE General Conference   2007   75 - 75   2007.3

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    As an efficient homotopy method for finding DC operating points of nonlinear circuits, the variable gain homotopy (VGH) method is well-known. However, in the conventional VGH method, the initial point is sometimes far from the solution because it is given as a solution of a diode circuit. In this paper, we propose an efficient VGH method using the SPICE-oriented approach. The proposed method can be easily implemented on SPICE without programming, although we do not know the homotopy method well. Moreover, since we can use a good initial point, the path following tends to become smooth and efficient.

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  • A SPICE-oriented nonexistence test for DC solutions of nonlinear circuits

    Wataru Kuroki, Kiyotaka Yamamura

    2007 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLS 1 AND 2   II   1078 - +   2007

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  • An efficient and practical algorithm for finding all DC solutions of nonlinear circuits

    Kiyotaka Yamamura, Koki Suda

    2007 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLS 1 AND 2   II   1111 - +   2007

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  • DC tolerance analysis of Nonlinear circuits using set-valued functions

    Kiyotaka Yamamura, Yasuaki Haga

    2007 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLS 1 AND 2   II   1120 - +   2007

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  • An efficient variable gain homotopy method using the SPICE-oriented approach

    第20回 回路とシステム軽井沢ワークショップ論文集   29 - 34   2007

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  • DC tolerance analysis of Nonlinear circuits using set-valued functions

    Kiyotaka Yamamura, Yasuaki Haga

    2007 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLS 1 AND 2   CAS2007-64   1120 - +   2007

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  • An efficient variable gain homotopy method using the SPICE-oriented approach

    Wataru Kuroki, Kiyotaka Yamamura, Shingo Furuki

    2007 50TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-3   592 - 595   2007

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  • An efficient homotopy method that can be easily implemented on SPICE

    Wataru Kuroki, Kiyotaka Yamamura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E89A ( 11 )   3320 - 3326   2006.11

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  • A SPICE-oriented method for finding DC operating points of nonlinear circuits containing piecewise-linear macromodels

    Wataru Kuroki, Kiyotaka Yamamura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E89A ( 11 )   3306 - 3312   2006.11

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  • A SPICE-oriented method for finding DC operating points of nonlinear circuits containing piecewise-linear macromodels

    Wataru Kuroki, Kiyotaka Yamamura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E89A ( 11 )   3306 - 3312   2006.11

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  • (Invited Paper) An efficient algorithm for finding all DC solutions of nonlinear circuits Reviewed

    Kiyotaka Yamamura, Koki Suda, Wataru Kuroki

    Proceedings of the 10th WSEAS International Conference on Circuits   173 - 178   2006.7

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  • (Invited Paper) An efficient algorithm for finding all DC solutions of nonlinear circuits

    Kiyotaka Yamamura, Koki Suda, Wataru Kuroki

    WSEAS Trans. on Circuits and Systems   5 ( 7 )   1097 - 1102   2006.7

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  • (Invited Paper) An efficient algorithm for finding all DC solutions of nonlinear circuits

    Kiyotaka Yamamura, Koki Suda, Wataru Kuroki

    Proceedings of the 10th WSEAS International Conference on Circuits   173 - 178   2006.7

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  • (Invited Paper) An efficient algorithm for finding all DC solutions of nonlinear circuits Reviewed

    Kiyotaka Yamamura, Koki Suda, Wataru Kuroki

    WSEAS Trans. on Circuits and Systems   5 ( 7 )   1097 - 1102   2006.7

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  • Finding all solutions of piecewise-linear resistive circuits with high approximation accuracy

    Kiyotaka Yamamura, Akinori Machida

    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS   15 ( 3 )   389 - 398   2006.6

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  • Finding all solutions of piecewise-linear resistive circuits with high approximation accuracy

    Kiyotaka Yamamura, Akinori Machida

    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS   15 ( 3 )   389 - 398   2006.6

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  • An efficient and globally convergent homotopy method for finding DC operating points of nonlinear circuits

    Kiyotaka Yamamura, Wataru Kuroki

    ASP-DAC 2006: 11TH ASIA AND SOUTH PACIFIC DESIGN AUTOMATION CONFERENCE, PROCEEDINGS   408 - 415   2006

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  • An efficient homotopy method that can be easily implemented on SPICE

    Kiyotaka Yamamura, Wataru Kuroki

    2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS   5515 - +   2006

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  • An efficient algorithm for finding all DC solutions of nonlinear circuits

    電子情報通信学会技術研究報告   ( NLP2006-13 )   13 - 18   2006

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  • A SPICE-oriented method for finding DC operating points of nonlinear circuits containing piecewise-linear macromodels

    Kiyotaka Yamamura, Li Lai, Wataru Kuroki

    2006 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLS 1-4   2385 - 2389   2006

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  • A SPICE-oriented method for finding DC operating points of nonlinear circuits containing piecewise-linear macromodels

    Kiyotaka Yamamura, Li Lai, Wataru Kuroki

    2006 International Conference on Communications, Circuits and Systems, ICCCAS, Proceedings   4   2385 - 2389   2006

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  • A SPICE-Oriented Method for Finding DC Operating Points of Nonlinear Circuits Containing One-Port Macromodels

    Wataru Kuroki, Kiyotaka Yamamura

    IEEE MWSCAS'06: PROCEEDINGS OF THE 2006 49TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS,   ( 3041 )   256 - +   2006

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  • A SPICE-oriented method for finding DC operating points of nonlinear circuits containing one-port macromodels

    Wataru Kuroki, Kiyotaka Yamamura

    Midwest Symposium on Circuits and Systems   1 ( 3041 )   256 - 260   2006

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  • A SPICE-oriented method for finding DC operating points of nonlinear circuits containing piecewise-linear macromodels

    電子情報通信学会技術研究報告   ( CAS2006-25 )   NLP2006-,25-30   2006

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  • An efficient homotopy method that can be easily implemented on SPICE

    Kiyotaka Yamamura, Wataru Kuroki

    2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS   E89-A ( 11 )   5515 - +   2006

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  • A SPICE-Oriented Method for Finding DC Operating Points of Nonlinear Circuits Containing One-Port Macromodels

    Wataru Kuroki, Kiyotaka Yamamura

    IEEE MWSCAS'06: PROCEEDINGS OF THE 2006 49TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS,   E89-A ( 11 )   256 - +   2006

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  • SPICE指向型数値解析法 ---式を回路で記する非線形問題の解法---(招待) Reviewed

    山村清隆

    電子情報通信学会誌   88 ( 12 )   981 - 988   2005.12

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  • An efficient homotopy method for finding DC operating points of nonlinear circuits

    Y Imai, K Yamamura, Y Inoue

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E88A ( 10 )   2554 - 2561   2005.10

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  • MOSFETを含む区分的線形回路の全解探索法 Reviewed

    山村清隆, 萱大樹

    電子情報通信学会論文誌(A)   J88-A ( 10 )   1168 - 1173   2005.10

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  • A homotopy method using a nonlinear auxiliary function for solving transistor circuits

    Y Inoue, Y Imai, K Yamamura

    IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS   E88D ( 7 )   1401 - 1408   2005.7

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  • A homotopy method using a nonlinear auxiliary function for solving transistor circuits Reviewed

    Yasuaki Inoue, Yu Imai, Kiyotaka Yamamura

    IEICE Trans. Fundamentals of Electronics, Communications and Computer Sciences   E88-A ( 7 )   1401 - 1408   2005.7

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    DOI: 10.1093/ietisy/e88-d.7.1401

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  • 双対単体法を用いた弱非線形方程式の全解探索法 Reviewed

    山村清隆, 田中克昌

    電子情報通信学会論文誌(A)   J88-A ( 7 )   833 - 839   2005.7

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  • Finding all DC operating points of piecewise-linear circuits containing neither voltage nor current controlled resistors

    K Yamamura, D Kaya

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E88A ( 6 )   1631 - 1634   2005.6

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    DOI: 10.1093/ietfec/e88-a.6.1631

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  • Finding all DC operating points of piecewise-linear circuits containing neither voltage nor current controlled resistors

    K Yamamura, D Kaya

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E88A ( 6 )   1631 - 1634   2005.6

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    DOI: 10.1093/ietfec/e88-a.6.1631

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  • Path following circuits - SPICE-oriented numerical methods where formulas are described by circuits

    K Yamamura, W Kuroki, H Okuma, Y Inoue

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E88A ( 4 )   825 - 831   2005.4

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  • Path following circuits - SPICE-oriented numerical methods where formulas are described by circuits

    K Yamamura, W Kuroki, H Okuma, Y Inoue

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E88A ( 4 )   825 - 831   2005.4

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  • An Efficient Homotopy Method for Solving Nonlinear Circiuts

    YAMAMURA Kiyotaka, SUZUKI Naoki, IMAI Yu, INOUE Yasuaki

    IEICE technical report. Nonlinear problems   104 ( 754 )   19 - 24   2005.3

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  • An efficient homotopy method for finding DC operating points of nonlinear circuits

    Yu Imai, Kiyotaka Yamamura, Yasuaki Inoue

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences   E88-A ( 10 )   2554 - 2561   2005

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    Language:English   Publisher:Institute of Electronics, Information and Communication, Engineers, IEICE  

    DOI: 10.1093/ietfec/e88-a.10.2554

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  • An efficient homotopy method for finding DC operating points of nonlinear circuits

    Yu Imai, Kiyotaka Yamamura, Yasuaki Inoue

    Proceedings - IEEE International Symposium on Circuits and Systems   NLP2004-128   4911 - 4914   2005

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  • An efficient homotopy method for finding DC operating points of nonlinear circuits

    Yu, I, K Yamamura, Y Inoue

    2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS   4911 - 4914   2005

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  • Path following circuits - SPICE-oriented numerical methods where formulas are described by circuits

    K Yamamura, W Kuroki, Y Inoue

    2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS   3761 - 3764   2005

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  • An efficient homotopy method for finding DC operating points of nonlinear circuits

    Yu Imai, Kiyotaka Yamamura, Yasuaki Inoue

    Proceedings - IEEE International Symposium on Circuits and Systems   4911 - 4914   2005

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  • An efficient homotopy method for finding DC operating points of nonlinear circuits

    55 - 60   2005

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  • Path following circuits

    Kiyotaka Yamamura, Wataru Kuroki, Yasuaki Inoue

    Proceedings - IEEE International Symposium on Circuits and Systems   3761 - 3764   2005

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  • An efficient algorithm for finding all solutions of systems of nonlinear equations Reviewed

    Kiyotaka Yamamura, Akinori Machida

    Proceedings of the 2004 International Symposium on Nonlinear Theory and its Applications   1   179 - 182   2004.12

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  • An efficient algorithm for finding all solutions of systems of nonlinear equations

    Kiyotaka Yamamura, Akinori Machida

    Proceedings of the 2004 International Symposium on Nonlinear Theory and its Applications   1   179 - 182   2004.12

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  • An interval algorithm for finding all solutions of nonlinear equations

    Kiyotaka Yamamura, Akinori Machida

    Book of Abstracts, 11th GAMM -- IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics   p.120   2004.10

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  • An interval algorithm for finding all solutions of nonlinear equations Reviewed

    Kiyotaka Yamamura, Akinori Machida

    Book of Abstracts, 11th GAMM -- IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics   120   2004.10

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  • An initial solution algorithm for globally convergent homotopy methods

    Y Inoue, S Kusanobu, K Yamamura, M Ando

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E87A ( 4 )   780 - 786   2004.4

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  • パス追跡回路 --- 式を回路で記述する新しい数値解析法 ---

    山村清隆, 大熊秀明

    数理解析研究所講究録「数値解析と新しい情報技術」   70 - 82   2004.4

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  • An interval algorithm for finding all solutions of non-linear resistive circuits

    K Yamamura, N Igarashi

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   32 ( 1 )   47 - 55   2004.1

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    DOI: 10.1002/cta.259

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  • An interval algorithm for finding all solutions of non-linear resistive circuits

    K Yamamura, N Igarashi

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   32 ( 1 )   47 - 55   2004.1

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    DOI: 10.1002/cta.259

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  • Finding all solutions of piecewise-linear resistive circuits with high approximation accuracy

    K Yamamura, A Machida, T Kitakawa

    2004 47TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL II, CONFERENCE PROCEEDINGS   2   613 - 616   2004

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  • A nonlinear homotopy method for solving transistor circuits

    Y Inoue, Y Imai, M Ando, K Yamamura

    2004 INTERNATIONAL CONFERENCE ON COMMUNICATION, CIRCUITS, AND SYSTEMS, VOLS 1 AND 2   II   1354 - +   2004

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  • An efficient homotopy method for solving transistor circuits

    Y Inoue, Y Imai, M Ando, K Yamamura

    2004 47TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL II, CONFERENCE PROCEEDINGS   2   617 - 620   2004

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  • A homotopy method using nonlinear auxiliary function

    615 - 620   2004

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  • An efficient algorithm for inding all solution of nonlinear resistive circuits

    Yamamura, I, A Machida, S Katogi

    2004 INTERNATIONAL CONFERENCE ON COMMUNICATION, CIRCUITS, AND SYSTEMS, VOLS 1 AND 2   II   1349 - 1353   2004

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  • 単体法と双対単体法を用いた区分的線形回路の全解探索法 Reviewed

    町田彰則, 山村清隆

    電子情報通信学会論文誌(A)   J86-A ( 12 )   1472 - 1477   2003.12

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  • AN ALGORITHM FOR FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR CIRCUITS WITH HIGH APPROXIMATION ACCURACY

    Yamamura Kiyotaka, Kitakawa Takehisa

    Proceedings of the Society Conference of IEICE   2003   "S - 13"-"S-14"   2003.9

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  • 集合値写像を用いた非線形回路の変動解析 Reviewed

    山村清隆, 兵藤弘章, 木村拓也

    電子情報通信学会論文誌(A)   J86-A ( 9 )   974 - 977   2003.9

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  • Finding all solution sets of piecewise-trapezoidal equations described by set-valued functions

    Kiyotaka Yamamura

    Reliable Computing   9 ( 3 )   241 - 250   2003.6

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  • Finding all solution sets of piecewise-trapezoidal equations described by set-valued functions

    Kiyotaka Yamamura

    Reliable Computing   9 ( 3 )   241 - 250   2003.5

  • ニュートン不動点ホモトピーを用いた非線形抵抗回路の大域的求解法 Reviewed

    井上靖秋, 山村清隆, 高橋朋弘, 草信佐栄子

    シミュレーション   22 ( 1 )   47 - 54   2003.4

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  • Finding all solutions of nonlinear equations using the dual simplex method

    Kiyotaka Yamamura, Tsuyoshi Fujioka

    Journal of Computational and Applied Mathematics   152 ( 1-2 )   587 - 595   2003.3

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  • Finding all solutions of nonlinear equations using the dual simplex method

    K Yamamura, T Fujioka

    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   152 ( 1-2 )   587 - 595   2003.3

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  • Finding all solutions of transistor circuits using the dual simplex method

    K Yamamura, O Nakamura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E86A ( 2 )   434 - 443   2003.2

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  • Finding all solutions of piecewise-linear resistive circuits using the simplex method

    K Yamamura, R Kaneko

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   50 ( 1 )   160 - 165   2003.1

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  • An interval algorithm for finding all solutions of nonlinear resistive circuits

    K Yamamura, N Igarashi, YA Inoue

    PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III   3   192 - 195   2003

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  • An effective initial solution algorithm for globally convergent homotopy methods

    Y Inoue, S Kusanobu, K Yamamura, M Ando

    PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III   3   196 - 199   2003

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  • Finding all solutions of piecewise-linear resistive circuits using the simplex method(招待講演)

    Proceedings of IEEE 2003 International Symposium on Circuits and Systems   3   642 - 645   2003

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  • An interval algorithm for finding all solutions of nonlinear resistive circuits

    37 - 42   2003

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  • An effective initial solution algorithm for globally convergent homotopy methods

    43 - 48   2003

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  • Finding all solutions of piecewise-linear resistive circuits using the simplex method

    K Yamamura, T Kitakawa

    PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III   3   642 - 645   2003

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  • Finding all solutions of piecewise-linear resistive circuits using the simplex method

    K Yamamura, T Kitakawa

    PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III   NLP2003-45   642 - 645   2003

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  • Finding all solutions of piecewise-linear resistive circuits using the dual simplex method

    K Yamamura, S Tanaka

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   30 ( 6 )   567 - 586   2002.11

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  • An efficient algorithm for finding all DC solutions of piecewise-linear circuits

    K Yamamura, M Sato, O Nakamura, T Kumakura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E85A ( 11 )   2459 - 2467   2002.11

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  • Finding all solutions of piecewise-linear resistive circuits using the dual simplex method

    K Yamamura, S Tanaka

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   30 ( 6 )   567 - 586   2002.11

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  • An efficient algorithm for finding all DC solutions of piecewise-linear circuits

    Kiyotaka Yamamura, Masaki Sato

    Proceedings of the 2001 International Symposium on Nonlinear Theory and its Applications   I   335 - 338   2002.10

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  • An efficient algorithm for finding all DC solutions of piecewise-linear circuits Reviewed

    Kiyotaka Yamamura, Masaki Sato

    Proceedings of the 2001 International Symposium on Nonlinear Theory and its Applications   I ( 11 )   335 - 338   2002.10

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  • Finding all solutions of systems of nonlinear equations using the dual simplex method

    K Yamamura, S Tanaka

    BIT   42 ( 1 )   214 - 230   2002.3

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  • A practical approach for the fixed-point homotopy method using a solution-tracing circuit Reviewed

    Y.Inoue, S.Kusanobu, K.Yamamura

    IEICE Trans. on Fundamentals of Electronics, Communications and Computer Sciences   E85-A ( 1 )   222 - 233   2002.1

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  • A practical approach for the fixed-point homotopy method using a solution-tracing circuit

    Y Inoue, S Kusanobu, K Yamamura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E85A ( 1 )   222 - 233   2002.1

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  • Tolerance analysis of nonlinear circuits using set-valued functions

    K Yamamura, H Hyodo

    2002 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL I, PROCEEDINGS   I   649 - 652   2002

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  • Finding all solutions of nonlinear equations using inverses of approximate Jacobian matrices

    K Yamamura, T Kumakura, Y Inoue

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E84A ( 11 )   2950 - 2952   2001.11

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  • Finding all solutions of systems of nonlinear equations using the dual simplex method

    K.Yamamura, T.Fujioka

    Proceedings of the 2001 International Symposium on Nonlinear Theory and its Applications   219 - 222   2001.10

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  • Finding all solutions of systems of nonlinear equations using the dual simplex method

    K.Yamamura

    Proceedings of the 2001 International Conference on Recent Advances in Computational Mathematics   146 - 147   2001.10

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  • Finding all solutions of systems of nonlinear equations using the dual simplex method

    K.Yamamura, T.Fujioka

    Proceedings of the 2001 International Symposium on Nonlinear Theory and its Applications   219 - 222   2001.10

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  • Finding all solutions of systems of nonlinear equations using the dual simplex method

    K.Yamamura

    Proceedings of the 2001 International Conference on Recent Advances in Computational Mathematics   146 - 147   2001.10

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  • An Algorithm for Finding All Solutions of Piecewise-Trapezoidal Circuits Described by Set-Valued Mappings

    YAMAMURA Kiyotaka, SHIMADA Masayuki, HYODO Hiroaki

    IEICE technical report. Nonlinear problems   101 ( 228 )   51 - 58   2001.7

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    In the tolerance analysis of nonlinear circuits, the concept of set-valued mappings is often useful. In this paper, we consider set-valued mappings termed piecewise-trapezoidal mappings, and propose an efficient algorithm for finding all solutions of piecewise-trapezoidal circuits where the characteristics of nonlinear elements are described by piecewise-trapezoidal mappings. By numerical examples, the effectiveness of the proposed algorithm is confirmed from various viewpoints. The idea proposed in this paper is effective not only in the tolerance analysis of nonlinear circuits but also in the numerical computation with guaranteed accuracy. Moreover, the proposed idea gives an algorithmic appraoch to the set-valued mapping theory developed by Kazuo Horiuchi.

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  • Finding all solutions of piecewise-linear resistive circuits using the simplex method

    K.Yamamura, R.Kaneko

    Proceedings of the 2001 International Technical Conference on Circuits/Systems, Computers and Communications   366 - 369   2001.7

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  • Improvement of the contraction-type LP test algorithm for finding all solutions of piecewise-linear resistive circuits

    K Yamamura, S Tanaka

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   29 ( 4 )   403 - 411   2001.7

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    DOI: 10.1002/cta.159

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  • Newton-fixed-point homotopy method for finding dc operating-points of nonlinear circuits

    Y.Inoue, S.Kusanobu, K.Yamamura, T.Takahashi

    Proceedings of the 2001 International Technical Conference on Circuits/Systems, Computers and Communications   370 - 373   2001.7

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  • Finding all solutions of piecewise-linear resistive circuits using the simplex method

    K.Yamamura, R.Kaneko

    Proceedings of the 2001 International Technical Conference on Circuits/Systems, Computers and Communications   366 - 369   2001.7

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  • Improvement of the contraction-type LP test algorithm for finding all solutions of piecewise-linear resistive circuits

    K Yamamura, S Tanaka

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   29 ( 4 )   403 - 411   2001.7

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    DOI: 10.1002/cta.159

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  • Newton-fixed-point homotopy method for finding dc operating-points of nonlinear circuits

    Y.Inoue, S.Kusanobu, K.Yamamura, T.Takahashi

    Proceedings of the 2001 International Technical Conference on Circuits/Systems, Computers and Communications   370 - 373   2001.7

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  • ホモトピー法による高分子溶液の4相平衡の計算

    山村清隆, 三川敬久, 土橋敏明

    電子情報通信学会論文誌(A)   J84-A ( 7 )   978 - 982   2001.7

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  • Newton-fixed-point homotopy method for finding dc operating-points of nonlinear circuits

    Y.Inoue, S.Kusanobu, K.Yamamura, T.Takahashi

    Proceedings of the 2001 International Technical Conference on Circuits/Systems, Computers and Communications   370 - 373   2001.7

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  • 集合値写像により記述される区分的台形回路のすべての解を求めるアルゴリズム

    山村清隆, 島田雅之, 湯浅拓也

    電子情報通信学会論文誌(A)   J84-A ( (6)vv )   798 - 808   2001.6

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  • Finding all characteristic curves of nonlinear resistive circuits using the dual simplex method,

    K.Yamamura, T.Kumakura

    Proceedings of IEEE 2001 International Symposium on Circuits and Systems   III   25 - 28   2001.5

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  • Finding all solutions of systems of nonlinear equations using the dual simplex method

    K.Yamamura, S.Tanaka

    BIT - Numerical Mathematics   p.42   2001.3

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  • 集合植写像により記述される区分的台形回路のすべての解を求めるアルゴリズム

    山村清隆, 島田雅之, 湯浅拓也

    電子情報通信学会論文誌(A)   J84-A ( 6 )   798 - 808   2001.3

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  • 線形計画法を用いたあるクラスの非線形2点境界値問題の全解探索法

    山村清隆, 高橋朋弘, 小林一哉

    中央大学理工学研究所論文集   6 ( 6 )   19 - 28   2001.3

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  • Finding all solutions of systems of nonlinear equations using the dual simplex method

    K.Yamamura, S.Tanaka

    BIT - Numerical Mathematics   42   2001.3

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  • Improvement of the contraction-type LP test algorithm for finding all solution of piecewise-linear resistive circuits,

    K.Yamamura, S.Tanaka

    International Journal of Circuit Theory and Applications   28   403 - 411   2001.3

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    DOI: 10.1002/cta.159

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  • Research topics and results on nonlinear theory and its applications in Japan

    K Yamamura, K Horiuchi

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E84A ( 1 )   7 - 13   2001.1

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  • Finding all characteristic curves of nonlinear resistive circuits using the dual simplex method

    Kiyotaka Yamamura, Takayoshi Kumakura

    ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings   3   25 - 28   2001

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  • Improvement of the contraction-type LP test algorithm for finding all solutions of piecewise-linear resistive circuits

    Kiyotaka Yamamura, Shigeru Tanaka

    International Journal of Circuit Theory and Applications   29 ( 4 )   403 - 411   2001

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    DOI: 10.1002/cta.159

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  • Finding all solutions of weakly nonlinear equations using linear programming

    K Yamamura, Y Hata

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E83A ( 12 )   2758 - 2761   2000.12

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  • Calculation of Multiphase Equilibria of Polymer Solutions by a Homotopy Method II

    YAMAMURA Kiyotaka, MIKAWA Yoshihisa, DOBASHI Toshiaki

    IEICE technical report. Nonlinear problems   100 ( 382 )   55 - 60   2000.10

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    It is shown that four-phase equilibria of polymer solutions can be calculated by a homotopy method. The main idea proposed here is to obtain a good initial point for the homotopy method by first calculating the reentrant three-pahse equilibria. By this method, four-phase equilibria of polymer solutions polystyrene I + polystyrene II + polystyrene III + methylcyclohexane using an empirically determined free energy based on the Flory-Huggins theory, could be elucidated.

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  • 2種類のLPテストを併用した区分的線形回路の全解探索法

    山村清隆, 金子隆児, 蓬田幸二

    電子情報通信学会論文誌(A)   J83-A ( 10 )   1223 - 1226   2000.10

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  • Phase diagram of polystyrene in cyclohexane in φ-T-P space

    Y.Mikawa, T.Dobashi, K.Yamamura, M.Nakata

    Trans.Materials Research Society of Japan   25 ( 3 )   757 - 758   2000.9

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  • Performance evaluation of the LP test algorithm for finding all solutions of piecewise-linear resistive circuits

    K Yamamura, S Tanaka

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   28 ( 5 )   501 - 506   2000.9

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    DOI: 10.1002/1097-007X(200009/10)28:5<501::AID-CTA116>3.0.CO;2-F

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  • Performance evaluation of the LP test algorithm for finding all solutions of piecewise-linear resistive circuits

    K Yamamura, S Tanaka

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   28 ( 5 )   501 - 506   2000.9

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    DOI: 10.1002/1097-007X(200009/10)28:5<501::AID-CTA116>3.0.CO;2-F

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  • Phase diagram of polystyrene in cyclohexane in φ-T-P space

    Y.Mikawa, T.Dobashi, K.Yamamura, M.Nakata

    Trans.Materials Research Society of Japan   25 ( 3 )   757 - 758   2000.9

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  • 線形計画法を用いた区分的線形回路の全解探索法

    山村清隆, 田中茂

    電子情報通信学論文誌(A)   J83-A ( 8 )   965 - 975   2000.8

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  • Finding all solutions of piecewise-linear resistive circuits using an LP test

    K Yamamura, K Yomogita

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   47 ( 7 )   1115 - 1120   2000.7

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  • Finding all solutions of piecewise-linear resistive circuits using an LP test

    K Yamamura, K Yomogita

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   47 ( 7 )   1115 - 1120   2000.7

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  • Reentrant three-phase equilibrium of homologous polystyrene solution

    M Suzuki, T Dobashi, Y Mikawa, K Yamamura, M Nakata

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   69 ( 6 )   1741 - 1744   2000.6

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  • 線形計画法を用いた非線形抵抗回路の特性曲線の探索

    山村清隆, フィトラグナワン, 蓬田幸二

    電子情報通信学論文誌(A)   J83-A ( 6 )   761 - 770   2000.6

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  • Reentrant three-phase equilibrium of homologous polystyrene solution

    M Suzuki, T Dobashi, Y Mikawa, K Yamamura, M Nakata

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   69 ( 6 )   1741 - 1744   2000.6

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  • Finding all solutions of piecewise-linear resistive circuits using the dual simplex method

    K.Yamamura, S.Tanaka

    IEEE International Symposium on Circuits and Systems   2000   9 - 16   2000.5

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  • Finding all solutions of piecewise-linear resistive circuits using the dual simplex method

    K.Yamamura, S.Tanaka

    Proceedings of IEEE 2000 International Symposium on Circuits and Systems   165 - 168   2000.5

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  • 線形計画法を用いた区分的線形回路の全解探索法

    田中茂, 山村清隆

    電子情報通信学会技術研究報告   NLP99-146 ( 603 )   79 - 86   2000.2

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    Recently, many algorithms have been proposed for finding all solutions of piecewise-linear resistive circuits using an LP test, which is a test for checking nonexistence of a solution to a system of piecewise-linear equations usign linear programming(simplex method). In this paper, the LP test is performed mostly by Phase II of the simplex method. It is shown that all solutions of difficult circuits, including a circuit containing 200 piecewise-linear resistors(where the number of linear regions is 10^<200>), could be found in practical computation time.

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  • Phase diagram of polystyrene in cyclohexane in φ-T-P space

    Y.Mikawa, T.Dobashi, M.Nakata

    Trans.Materials Resarch Societiy of Japan   25 ( 3 )   757 - 758   2000.2

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  • Phase diagram of polystyrene in cyclohexane in φ-T-P space

    Y.Mikawa, T.Dobashi, M.Nakata

    Trans.Materials Resarch Societiy of Japan   757 - 758   2000.2

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  • Finding all solutions of nonlinear equations using linear combinations of functions

    Reliable Computing   6 ( 2 )   105 - 113   2000

  • Finding All Solutions of Nonlinear Equations Using Linear Combinations of Functions

    Kiyotaka Yamamura

    Reliable Computing   6 ( 2 )   105 - 113   2000

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  • Finding all solutions of piecewise-linear resistive circuits using the dual simplex method

    K Yamamura, S Tanak

    ISCAS 2000: IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - PROCEEDINGS, VOL IV   165 - 168   2000

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  • Finding all solutions of piecewise-linear resistive circuits using the dual simplex method

    Kiyotaka Yamamura, Shigeru Tanaka

    Proceedings - IEEE International Symposium on Circuits and Systems   4   165 - IV-168   2000

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  • Finding all solutions of nonlinear equatious using linear combinations of functions

    K.Yamamura

    Proceedings of 1999 International Symposium on Nonlinear Theory and its Applications   831 - 834   1999.11

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    K.Yamamura

    Proceedings of 1999 International Symposium on Nonlinear Theory and its Applications   831 - 834   1999.11

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  • Finding all solutions of a class of nonlinear equations using an improved LP test

    K Yamamura, M Nishizawa

    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS   16 ( 3 )   349 - 368   1999.10

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  • Coexistence curve of polystyrene in methylcyclohexane. X. Two-phase coexistence curves for ternary solutions near the tricritical compositions

    M Nakata, T Dobashi, Y Inakuma, K Yamamura

    JOURNAL OF CHEMICAL PHYSICS   111 ( 14 )   6617 - 6624   1999.10

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  • Coexistence curve of polystyrene in methylcyclohexane. X. Two-phase coexistence curves for ternary solutions near the tricritical compositions

    M Nakata, T Dobashi, Y Inakuma, K Yamamura

    JOURNAL OF CHEMICAL PHYSICS   111 ( 14 )   6617 - 6624   1999.10

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  • Application of homotopy method to multiphase equilibrium of polymer solutions

    Y.Mikawa, T.Dobashi, K.Yamamura, Y.Seki

    Reports on Progress in Polymer Physics in Japan   42   49 - 50   1999.10

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  • Application of homotopy method to multiphase equilibrium of polymer solutions

    Y.Mikawa, T.Dobashi, K.Yamamura, Y.Seki

    Reports on Progress in Polymer Physics in Japan   42   49 - 50   1999.10

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  • 線形計画法を用いた抵抗回路の変動解析

    山村清隆, 酒井健司

    電子情報通信学会論文誌(A)   J82-A ( 10 )   1672 - 1675   1999.10

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  • 改良符号テストを用いた区分的線形回路の全解探索

    山村清隆, 本田英之

    電子情報通信学会論文誌(A)   J82-A ( 7 )   997 - 1004   1999.7

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  • A fixed-point homotopy method for solving modified nodal equations

    K Yamamura, T Sekiguchi, Y Inoue

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   46 ( 6 )   654 - 665   1999.6

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  • 不動点ホモトピーを用いた修正節点方程式の大域的求解アルゴリズム

    山村清隆, 高橋重憲

    中央大学理工学研究所論文集   5 ( 5 )   89 - 97   1999.5

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  • ポストSPICE回路シュミレータ Reviewed

    西原明法, 鹿毛哲郎, 奥村万規子, 山村清隆

    電子情報通信学会誌   82 ( 1 )   47 - 54   1999.1

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  • Phase diagram of polystyrene in cyclohexane in φ-T-P space

    第11回日本MRS学術シンポジウム(神奈川)   1999

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  • Finding all solutions of nonlinear equations using the dual simplex method

    京都大学数理解析研究所短期共同研究 『精度保証付き数値計算法とその周辺』 (京都)   1999

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  • Finding all solutions of nonlinear equations using linear combinations of functions

    International Symposium on Nonlinear Theory and its Applications (ハワイ)   1999

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  • A fixed-point homotopy method for solving modified nodal equations

    Kiyotaka Yamamura, Tooru Sekiguchi, Yasuaki Inoue

    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications   46 ( 6 )   654 - 665   1999

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    DOI: 10.1109/81.768822

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  • Finding all solutions of piecewise-linear resistive circuits using the LP test (mostly by Phase II of the simplex method) Reviewed

    K. Yamamura, S. Tanaka

    International Symposium on Nonlinear Theory and its Applications   113 - 116   1998.9

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  • Finding all solutions of piecewise-linear resistive circuits using the LP test (mostly by Phase II of the simplex method)

    K. Yamamura, S. Tanaka

    International Symposium on Nonlinear Theory and its Applications   113 - 116   1998.9

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  • Finding all solutions of piecewise-linear resistive circuits using the LP test (mostly by Phase II of the simplex method)

    K.Yamamura, S.Tanaka

    Proc. 1998 Int. Symp. Nonlinear Theory and its Applications   113 - 116   1998.9

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  • Finding all solutions of piecewise-linear resistive circuits using the LP test (mostly by Phase II of the simplex method)

    K.Yamamura, S.Tanaka

    Proc. 1998 Int. Symp. Nonlinear Theory and its Applications   113 - 116   1998.9

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  • Three-phase coexistence curve of polystyrene in cyclohexane in φ-P space

    T.Dobashi, Y.Mikawa, K.Yamamura, M.Nakata

    Reports of Progress in Polymer Physics in Japan   41   113 - 114   1998.8

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  • Three-phase coexistence curve of polystyrene in cyclohexane in φ-P space

    T.Dobashi, Y.Mikawa, K.Yamamura, M.Nakata

    Reports of Progress in Polymer Physics in Japan   41   113 - 114   1998.8

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  • Globally Convergent Algorithms Using the Fixed-Point Homotopy for Solving Modified Nodal Equations

    YAMAMURA Kiyotaka, TAKAHASHI Shigekazu

    IEICE technical report. Nonlinear problems   98 ( 225 )   31 - 36   1998.7

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    Recently, global convergence property of the homotopy method using the fixed-point homotopy has been proved for modified nodal equations that are used in SPICE.In this paper, we introduce some practical techniques to the fixed-point homotopy method for improving the computational efficiency without losing the global convergence property.

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  • Finding all solutions of transistor circuits using linear programming

    K Yamamura, H Kawata, A Tokue

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E81A ( 6 )   1310 - 1313   1998.6

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    K Yamamura, T Ohshima

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   45 ( 4 )   434 - 445   1998.4

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    K Yamamura, T Ohshima

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   45 ( 4 )   434 - 445   1998.4

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  • Interval solution of nonlinear equations using linear programming Reviewed

    K.Yamamura, H.Kawata, A.Tokue

    BIT-Numerical Mathematics   38 ( 1 )   186 - 199   1998.4

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    DOI: 10.1007/BF02510924

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    K. Yamamura, T. Ohshina

    IEEE Trans. Circuits and Systems-I   45 ( 3 )   1998.3

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    DOI: 10.1109/81.669067

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  • ホモトピー法による高分子溶液の多相平衡の計算 Reviewed

    山村清隆, 土橋敏明, 稲熊雄一, 蓬田幸二, 近藤千夏

    電子情報通信学会論文誌(A)   J81-A ( 3 )   456 - 460   1998.3

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  • Interval solution of nonlinear equations using linear programming

    K Yamamura, H Kawata, A Tokue

    BIT   38 ( 1 )   186 - 199   1998.3

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  • 理論が実用になるまで Reviewed

    山村清隆

    電子情報通信学会誌   81 ( 1 )   33 - 36   1998.1

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  • 不動点ホモトピー法を用いた修正節点方程式の大域的求解法

    山村清隆

    IEICE Trans.   81 ( 7 )   1094 - 1098   1998

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    Kiyotaka Yamamura, Takayuki Ohshima

    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications   45 ( 4 )   434 - 445   1998

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    DOI: 10.1109/81.669067

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  • On the Stability of dc Operating Points Obtained by Solving Hybrid Equations

    YAMAMURA Kiyotaka, SEKIGUCHI Tooru

    IEICE Trans. Fundamentals, A   80 ( 11 )   2291 - 2299   1997.11

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    In circuit simulation, dc operating points of non-linear circuits are obtained by solving circuit equations. In this paper, we consider "hybrid equations" as the circuit equations and discuss the stability of dc operating points obtained by solving hybrid equations. We give a simple criterion for identifying unstable operating points from the information of the hybrid equations. We also give a useful criterion for identifying initial points from which homotopy methods converge to stable operating points with high possibility. These results are derived from the theory of dc operating point stability developed by M.M. Green and A.N. Willson, Jr.

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  • An LP test algorithm for finding all solutions of piecewise-linear resistive circuits

    K. Yamamura, K. Yomogita

    Proceedings of 1997 International Symposium on Nonlinear Theory and its Applications   309 - 312   1997.11

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  • An LP test algorithm for finding all solutions of picewise-linear resistive circuits

    K. Yamamura, K. Yomogita

    International Symposium on Nonlinear Theory and its Applications, Hawaii   1997.11

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  • An LP test algorithm for finding all solutions of picewise-linear resistive circuits

    K. Yamamura, K. Yomogita

    International Symposium on Nonlinear Theory and its Applications, Hawaii   1997.11

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  • An LP test algorithm for finding all solutions of piecewise-linear resistive circuits Reviewed

    K. Yamamura, K. Yomogita

    Proceedings of 1997 International Symposium on Nonlinear Theory and its Applications   309 - 312   1997.11

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  • On the stability of dc operating points obtained by solving hybrid equations

    K Yamamura, T Sekiguchi

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E80A ( 11 )   2291 - 2299   1997.11

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  • Calculation of Multiphase Equilibria of Polymer Solutions by a Homotopy Method

    YAMAMURA Kiyotaka, DOBASHI Toshiaki, INAKUMA Yuichi, YOMOGITA Koji, KONDO Chinatsu

    IEICE technical report. Nonlinear problems   97 ( 217 )   51 - 58   1997.7

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    A homotopy method was used to calculate multiphase equilibria of multicomponent systems. The method was demonstrated to study three-phase behavior of a tricritical polymer solution polystyrene I + polystyrene II + methylcyclohexane using an empirically determined free energy based on the Flory-Huggins theory. The calculation shows symmetry of three-phase coexistence curve appears in the very limited range near the tricritical point.

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  • Interval solution of nonlinear equations using linear programming Reviewed

    K. Yamamura

    Proceedings of IEEE 1997 International Symposium on Circuits and Systems   837 - 840   1997.6

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  • Interval solution of nonlinear equations using linear programming

    IEEE International Symposium on Circuits and Systems, Hong Kong   1997

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  • Interval solution of nonlinear equations using linear programming

    K Yamamura

    ISCAS '97 - PROCEEDINGS OF 1997 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS I - IV   837 - 840   1997

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  • Interval solution of nonlinear equations using linear programming

    International Workshop on Reliability of Numerical Computation, Tokyo,(招待講演)   1997

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  • A contraction algorithm for finding all solutions of piecewise-linear resistive circuits Reviewed

    K.Yamamura, M.Mishina

    IEICE Trans. Fundamentals   E79-A ( 10 )   1733 - 1736   1996.10

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  • Interval analysis using linear programming Reviewed

    K.Yamamura, A.Tokue, H.Kawata

    Proc. Int. Symp. Nonlinear Theory and its Applications   96   49 - 52   1996.10

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  • A globally convergent algorithm using the fixed-point homotopy for solving modified nodal equations Reviewed

    K.Yamamura, T.Sekiguchi, Y.Inoue

    Proc. Int. Symp. Nonlinear Theory and its Applications   463 - 466   1996.10

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  • Interval analysis using linear programming

    K.Yamamura, A.Tokue, H.Kawata

    Proc. Int. Symp. Nonlinear Theory and its Applications   49 - 52   1996.10

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  • A globally convergent algorithm using the fixed-point homotopy for solving modified nodal equations

    K.Yamamura, T.Sekiguchi, Y.Inoue

    Proc. Int. Symp. Nonlinear Theory and its Applications   463 - 466   1996.10

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  • A contraction algorithm using a sign test for finding all solutions of piecewise-linear resistive circuits

    K Yamamura, M Mishina

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E79A ( 10 )   1733 - 1736   1996.10

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  • 区間解析を用いた非線形抵抗回路のすべての解を求めるアルゴリズム Reviewed

    山村清隆, 徳江愛, 川田仁美

    電子情報通信学会論文誌(A)   J79-A ( 10 )   1692 - 1699   1996.10

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  • ホモトピー法による非線形抵抗回路の安定解の探索 Reviewed

    山村清隆, 関口亨

    電子情報通信学会論文誌(A)   J79-A ( 8 )   1481 - 1484   1996.8

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  • 非線形現象の解析手法〔V〕-非線形方程式の数値解法-

    山村清隆

    電子情報通信学会誌   79 ( 7 )   740 - 745   1996.7

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  • Algorithm for representing nonseparable functions by separable functions

    K Yamamura

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E79A ( 7 )   1051 - 1059   1996.7

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  • An algorithm for representing nonseparable functions by separable functions Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E79-A ( 7 )   1051 - 1059   1996.7

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  • An algorithm for representing functions of many variables by superpositions of functions of one variable and addition

    K Yamamura

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   43 ( 4 )   338 - 340   1996.4

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  • Algorithm for finding all solutions of piecewise-linear resistive circuits

    Kiyotaka Yamamura, Masakazu Mishina

    International Journal of Circuit Theory and Applications   24 ( 2 )   223 - 231   1996.3

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    Language:English   Publisher:John Wiley &amp; Sons Ltd  

    DOI: 10.1002/(SICI)1097-007X(199603/04)24:2<223::AID-CTA889>3.0.CO;2-1

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  • An algorithm for finding all solutions of piecewise-linear resistive circuits

    K Yamamura, M Mishina

    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS   24 ( 2 )   223 - 231   1996.3

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    DOI: 10.1002/(SICI)1097-007X(199603/04)24:2<223::AID-CTA889>3.0.CO;2-1

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  • 線形計画法と区間解析による非線形方程式の全解探索

    山村清隆

    信学技報   1996

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming Ⅱ

    YAMAMURA Kiyotaka, OHSHIMA Takayuki

    電子情報通信学会技術研究報告   NLP96-80 ( 273 )   9 - 16   1996

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    An efficient algorithm is proposed for finding all solutions of piecewise-linear resistive circuits. This algorithm is based on a new test that checks the nonexistence of solutions to the piecewise-linear equations f_i(x)=0(i=1, 2, ・・・, n) in a super-region. Unlike the conventional sign test, which checks whether the solution surfaces of the single piecewise-linear equations exist or not in a super-region, the new test checks whether the solution surfaces of the single piecewise-linear equations intersect or not in a super-region. Such a test can be performed by using linear programming. It is shown that the simplex method can be performed very efficiently by utilizing the adjacency of super-regions in each step. The proposed algorithm is much more efficient than the conventional sign test algorithms and can find all solutions of large scale circuits very efficiently. Moreover, it can find all characteristic curves of piecewise-linear resistive circuits.

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  • Interval analysis using linear programming

    電子情報通信学会技術研究報告   CAS96-6   37 - 43   1996

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  • A globally convergent algorithm using the fixed-point homotopy for solving modified nodal equations

    電子情報通信学会技術研究報告   CAS96-3   15 - 22   1996

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  • An algorithm for representing functions of many variables by superpositions of functions of one variable and addition

    Kiyotaka Yamamura

    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications   43 ( 4 )   338 - 340   1996

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    DOI: 10.1109/81.488814

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  • Interval analysis using linear programming Ⅱ

    電子情報通信学会技術研究報告   NLP96-97   17 - 24   1996

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    第9回回路とシステム軽井沢ワークショップ論文集   19 - 24   1996

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    K.Yamamura, T.Ohshima

    Proc. Int. Symp. Nonlinear Theory and its Applications   775 - 780   1995.12

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  • Practical algorithms for dc operating-point analysis of large-scale circuits

    Y.Inoue, K.Yamamura

    Proc. Int. Symp. Nonlinear Theory and its Applications   1153 - 1158   1995.12

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  • Spherical methods for tracing solution curves

    K.Yamamura

    Proc. Int. Symp. Nonlinear Theory and its Applications   1177 - 1182   1995.12

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming Reviewed

    K.Yamamura, T.Ohshima

    Proc. Int. Symp. Nonlinear Theory and its Applications   775 - 780   1995.12

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  • Practical algorithms for dc operating-point analysis of large-scale circuits Reviewed

    Y.Inoue, K.Yamamura

    Proc. Int. Symp. Nonlinear Theory and its Applications   1153 - 1158   1995.12

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  • Spherical methods for tracing solution curves Reviewed

    K.Yamamura

    Proc. Int. Symp. Nonlinear Theory and its Applications   1177   1177 - 1182   1995.12

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  • A MODIFIED SPHERICAL METHOD FOR TRACING SOLUTION CURVES

    K YAMAMURA, T SEKIGUCHI

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E78A ( 9 )   1233 - 1238   1995.9

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  • 減速ニュートン法を用いた区分的線形回路の直流解析法 Reviewed

    山村清隆, 中田靖夫

    電子情報通信学会論文誌(A)   J78-A ( 9 )   1231 - 1234   1995.9

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  • An algorithm for finding all solutions of piecewise-linear resistive circuits Reviewed

    K.Yamamura, M.Mishina

    Proc. European Conf. Circuit Theory and Design   123 - 126   1995.8

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  • An algorithm for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura, M.Mishina

    Proc. European Conf. Circuit Theory and Design   123 - 126   1995.8

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  • FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE CIRCUITS CONTAINING NONSEPARABLE TRANSISTOR MODELS

    K YAMAMURA, O MATSUMOTO

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E78A ( 2 )   264 - 267   1995.2

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  • FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE CIRCUITS CONTAINING SOPHISTICATED TRANSISTOR MODELS

    K YAMAMURA, N SEKIGUCHI

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E78A ( 1 )   117 - 122   1995.1

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  • 非線形抵回路のすべての解を求める効率的な区間解析アルゴリズム

    山村清隆

    第8回回路とシステム軽井沢ワークショップ論文集   431 - 436   1995

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    電子情報通信学会技術研究報告   NLP95-26   1 - 8   1995

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  • An algorithm for finding all solutions of piecewise-linear resistive circuits

    第8回回路とシステム軽井沢ワークショップ論文集   425 - 430   1995

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  • On quadratic convergence of the Katzenelson-like algorithm for solving nonlinear resistive networks Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E77-A ( 10 )   1700 - 1706   1994.10

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  • ONJ QUADRATIC CONVERGENCE OF THE KATZENELSON-LIKE ALGORITHM FOR SOLVING NONLINEAR RESISTIVE-NETWORKS

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E77A ( 10 )   1700 - 1706   1994.10

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  • A Katzenelson-like algorithm for piecewise-linear analysis of nonlinear resistive networks Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E77-A ( 7 )   1172 - 1178   1994.7

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  • A KATZENELSON-LIKE ALGORITHM FOR SOLVING NONLINEAR RESISTIVE-NETWORKS

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E77A ( 7 )   1172 - 1178   1994.7

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  • Improving the convergence of spherical algorithms for tracing solution curves Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E77-A ( 6 )   1085 - 1088   1994.6

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  • IMPROVING THE CONVERGENCE OF SPHERICAL ALGORITHMS FOR TRACING SOLUTION CURVES

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E77A ( 6 )   1085 - 1088   1994.6

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  • Finding all solutions of piecewise-linear resistive circuits containing neither voltage nor current controlled resistors Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E77-A ( 3 )   573 - 576   1994.3

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  • FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE CIRCUITS CONTAINING NEITHER VOLTAGE NOR CURRENT-CONTROLLED RESISTORS

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E77A ( 3 )   573 - 576   1994.3

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  • Piecewise-linear analysis of nonlinear resistive networks containing Gummel-Poon models or Shichman-Hodges models Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E77-A ( 1 )   309 - 316   1994.1

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  • SIGN TEST FOR FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE CIRCUITS

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E77A ( 1 )   317 - 323   1994.1

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  • PIECEWISE-LINEAR ANALYSIS OF NONLINEAR RESISTIVE-NETWORKS CONTAINING GUMMEL-POON MODELS OR SHICHMAN-HODGES MODELS

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E77A ( 1 )   309 - 316   1994.1

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  • A sign test for finding all solutions of piecewise-linear resistive circuits Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E77-A ( 1 )   317 - 323   1994.1

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  • Finding all solutions of piecewise-linear resistive circuits containing sophisticated transistor models

    第7回回路とシステム軽井沢ワークショップ論文集   7 - 12   1994

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  • Modified spherical algorithms for tracing solution curves

    Yamamura Kiyotaka, Sekiguchi Tooru

    電子情報通信学会技術研究報告   NLP94-36 ( 160 )   25 - 31   1994

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    Simple techniques are proposed for improving the computational efficiency of spherical algorithms,which are methods for tracing solution curves.These techniques are very effective in practical circuit simulation.Also,the amount of the additional works needed is almost negligible.

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  • An algorithm for representing functions of several variables by superposition of functions of one variable and addition Reviewed

    K.Yamamura

    Proc. Int. Symp. Nonlinear Theory and its Applications   1045 - 1048   1993.12

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  • An algorithm for representing functions of several variables by superposition of functions of one variable and addition

    K.Yamamura

    Proc. Int. Symp. Nonlinear Theory and its Applications   1045 - 1048   1993.12

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  • A SIMPLE ALGORITHM FOR FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE CIRCUITS

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E76A ( 10 )   1812 - 1821   1993.10

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  • A simple algorithm for finding all solutions of piecewise-linear resistive circuits Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E76-A ( 10 )   1812 - 1821   1993.10

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  • SIMPLE ALGORITHMS FOR TRACING SOLUTION CURVES

    K YAMAMURA

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   40 ( 8 )   537 - 541   1993.8

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    DOI: 10.1109/81.242328

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  • FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE CIRCUITS USING SIMPLE SIGN TESTS

    K YAMAMURA

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   40 ( 8 )   546 - 551   1993.8

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    DOI: 10.1109/81.242330

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  • Finding all solutions of piecewise-linear resistive circuits using simple sign tests Reviewed

    K.Yamamura

    IEEE Trans. Circuits and Systems-I   40 ( 8 )   546 - 551   1993.8

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    DOI: 10.1109/81.242330

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  • COMPUTATION OF CONSTRAINED CHANNEL CAPACITY BY NEWTON METHOD

    K YAMAMURA, S OISHI, K HORIUCHI

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E76A ( 6 )   1043 - 1048   1993.6

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  • Simple Algorithms for Tracing Solution Curves

    Kiyotaka Yamamura

    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications   40 ( 8 )   537 - 541   1993

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    DOI: 10.1109/81.242328

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  • Improving the convergence of spherical algorithms for tracing solution curves

    Yamamura Kiyotaka

    電子情報通信学会技術研究報告   NLP93-59 ( 335 )   17 - 21   1993

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    A simple technique is proposed for improving the convergence of Newton′s method in the spherical algorithms,which are methods for tracing solution curves.A numerical example is given in order to show the effectiveness of the proposed technique.

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  • Piecewise-linear analysis of nonlinear resistive networks containing Gummel-Poon models or Shichman-Hodges models

    Yamamura Kiyotaka, Sekiguchi Nobuo

    電子情報通信学会技術研究報告   NLP93-38 ( 102 )   59 - 66   1993

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    Finding DC solutions of nonlinear networks is one of the most difficult tasks in circuit simulation,and many circuit designers experience difficulties in finding DC solutions using Newton′s met hod.Piecewise-linear analysis has been studied to overcome this difficulty.However,efficient piecewise-linear algorithms have not been proposed for nonlinear resistive networks containing the Gummel-Poon models or the Shichman-Hodges models.In this paper,a new piecewise-linear algorithm is presented for solving nonlinear resistive networks containing these sophisticated transistor models.The basic idea of the algorithm is to exploit the special structure of the nonlinear network equations,namely,the pairwise- separability.The proposed algorithm is globally convergent and much more efficient than the conventional simplicial-type piecewise-linear algorithms.

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  • Finding all solutions of piecewise-linear resistive circuits

    Yamamura Kiyotaka

    電子情報通信学会技術研究報告   NLP93-58 ( 335 )   9 - 16   1993

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    An efficient algorithm is presented for finding all solutions of piecewise-lineax resistive circuits.In this algorithm,a simple sign test is performed to eliminate many linear regions that do not contain a solution.This makes the number of simultaneous linear equations to be solved much smaller.This test,in its original form,is applied to each linear region;but this is time- consuming because the number of linear regions is generally very large.In this paper,it is shown that the sign test can be applied to super-regions consisting of adjacent linear regions.Therefore, many linear regions are discarded at the same time,and the computational efficiency of the algorithm is substantially improved.The branch-and-bound method is used in applying the sign test to super-regions.Some numerical examples are given,and it is shown that all solutions are computed very rapidly.The proposed algorithm is simple,efficient,and can be easily programmed.

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  • A simple algorithm for finding all solutions of piecewise-linear resistive circuits Reviewed

    K.Yamamura

    Proc. IEEE Asia-Pacific Conference on Circuits and Systems   254 - 259   1992.12

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  • A simple algorithm for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura

    Proc. IEEE Asia-Pacific Conference on Circuits and Systems   254 - 259   1992.12

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  • DETECTING SEPARABILITY OF NONLINEAR MAPPINGS USING COMPUTATIONAL GRAPHS

    K YAMAMURA, M KIYOI

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E75A ( 12 )   1820 - 1825   1992.12

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  • A Newton algorithm for computing the capacity of discrete memoryless channels Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E75-A ( 11 )   1583 - 1589   1992.11

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  • A NEWTON ALGORITHM FOR COMPUTING THE CAPACITY OF DISCRETE MEMORYLESS CHANNELS

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E75A ( 11 )   1583 - 1589   1992.11

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  • ON PIECEWISE-LINEAR APPROXIMATION OF NONLINEAR MAPPINGS CONTAINING GUMMEL-POON MODELS OR SHICHMAN-HODGES MODELS

    K YAMAMURA

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS   39 ( 8 )   694 - 697   1992.8

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    DOI: 10.1109/81.168932

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  • Simple algorithms for tracing solution curves Reviewed

    K.Yamamura

    Proc. IEEE Int. Symp. Circuits and Systems   6   2801 - 2804   1992.5

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  • Exploiting separability in numerical analysis of nonlinear systems Reviewed

    K.Yamamura

    IEICE Trans. Fundamentals   E75-A ( 3 )   285 - 293   1992.3

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  • AN EFFICIENT ALGORITHM FOR FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE CIRCUITS

    K YAMAMURA, M OCHIAI

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS   39 ( 3 )   213 - 221   1992.3

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  • EXPLOITING SEPARABILITY IN NUMERICAL-ANALYSIS OF NONLINEAR-SYSTEMS

    K YAMAMURA

    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES   E75A ( 3 )   285 - 293   1992.3

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  • Algorithms for finding all solutions of piecewise-linear resistive circuits

    Proc. Third Symp. Nonlinear Theory and Its Applications   47 - 50   1992

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  • On Piecewise-Linear Approximation of Nonlinear Mappings Containing Gummel-Poon Models or Shichman-Hodges Models

    Kiyotaka Yamamura

    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications   39 ( 8 )   694 - 697   1992

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    DOI: 10.1109/81.168932

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  • On piecewise-linear approximation of nonlinear mappings containing Gummel-Poon models or Shichman-Hodges models

    Proc. Joint Tech. Conf. Circuits/Systems, Computers and Commun.   719 - 724   1992

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  • A simple algorithm for finding all solutions of piecewise-linear resistive circuits

    電子情報通信学会技術研究報告   NLP92-32   63 - 70   1992

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  • An Efficient Algorithm for Finding All Solutions of Piecewise-Linear Resistive Circuits

    Kiyotaka Yamamura, Makoto Ochiai

    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications   39 ( 3 )   213 - 221   1992

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    DOI: 10.1109/81.128015

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  • Finding all solutions of piecewise-linear resistive circuits using simple sign tests

    電子情報通信学会技術研究報告   NLP91-85   21 - 28   1992

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  • A simple algorithm for finding all solutions of piecewise-linear resistive circuits

    第5回回路とシステム軽井沢ワークショップ論文集   309 - 514   1992

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  • Simple algorithms for tracing solution curves

    京都大学数理解析研究所講究録787   163 - 175   1992

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  • SIMPLE ALGORITHMS FOR TRACING SOLUTION CURVES

    K YAMAMURA

    1992 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-6   2801 - 2804   1992

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  • 計算グラフを用いた非線形関数の分離性検出アルゴリズム Reviewed

    山村清隆, 清井雅広

    電子情報通信学会論文誌(A)   J74-A ( 12 )   1755 - 1765   1991.12

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  • Kevorkian分割解法を用いた区間解析の効率化について Reviewed

    山村清隆, 牛田明夫, 堀内和夫

    電子情報通信学会論文誌(A)   J74-A ( 8 )   1142 - 1150   1991.8

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  • An efficient algorithm for finding all solutions of piecewise-linear resistive circuits Reviewed

    K.Yamamura, M.Ochiai

    Proc. IEEE Int. Symp. Circuits and Systems   3039 - 3042   1991.6

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  • An efficient algorithm for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura, M.Ochiai

    Proc. IEEE Int. Symp. Circuits and Systems   3039 - 3042   1991.6

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  • IMPROVING THE EFFICIENCY OF INTEGER LABELING METHODS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS

    K YAMAMURA, K KATOU, M OCHIAI

    IEICE TRANSACTIONS ON COMMUNICATIONS ELECTRONICS INFORMATION AND SYSTEMS   74 ( 6 )   1463 - 1470   1991.6

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  • 非線形計画問題に対する区分的線形ホモトピー法 Reviewed

    山村清隆, 新井かおり, 清井雅広

    電子情報通信学会論文誌(A)   J74-A ( 3 )   515 - 523   1991.3

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  • An efficient global optimization algorithm for solving Hopfield networks

    USHIDA A.

    Proc. Second Symp. Nonlinear Theory and Its Applications   47 - 50   1991

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  • An efficient algorithm for finding all solutions of piecewise-linear resistive circuits

    Yamamura Kiyotaka

    電子情報通信学会技術研究報告   NLP90-47   21 - 27   1991

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  • Detecting separability of nonlinear mappings using computational graphs

    Proc. Second Symp. Nonlinear Theory and Its Applications   131 - 134   1991

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  • Computation of constrained channel capacity by Newton's method

    Proc. Joint Tech. Conf. Circuits/Systems, Computers and Commun.   269 - 274   1991

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  • Simple algorithms for tracing solution curves

    電子情報通信学会技術研究報告   NLP91-51   47 - 53   1991

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  • A fast algorithm for computing all solutions of piecewise-linear resistive circuits

    第4回回路とシステム軽井沢ワークショップ論文集   19 - 24   1991

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  • An efficient algorithm for finding all solutions of piecewise-linear resistive circuits

    京都大学数理解析研究所講究録748   79 - 89   1991

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  • A Newton algorithm for computing the capacity of discrete memoryless channels Reviewed

    K.Yamamura

    Proc. Int. Symp. Information Theory and its Applications   323 - 326   1990.11

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  • A Newton algorithm for computing the capacity of discrete memoryless channels

    K.Yamamura

    Proc. Int. Symp. Information Theory and its Applications   323 - 326   1990.11

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  • 直方体分割を用いたホモトピー法による制約条件付通信路容量の計算 Reviewed

    山村清隆, 福山健次郎, 堀内和夫

    電子情報通信学会論文誌(A)   J73-A ( 7 )   1286 - 1289   1990.7

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  • A GLOBALLY AND QUADRATICALLY CONVERGENT ALGORITHM FOR SOLVING NONLINEAR RESISTIVE-NETWORKS

    K YAMAMURA, K HORIUCHI

    IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS   9 ( 5 )   487 - 499   1990.5

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  • A GLOBALLY AND QUADRATICALLY CONVERGENT ALGORITHM FOR SOLVING NONLINEAR RESISTIVE-NETWORKS

    K YAMAMURA, K HORIUCHI

    IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS   9 ( 5 )   487 - 499   1990.5

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  • 記憶のない離散的通信路に対する直方体分割を用いた通信路容量の計算法 Reviewed

    山村清隆, 福山健次郎, 堀内和夫

    電子情報通信学会論文誌(A)   J73-A ( 3 )   576 - 583   1990.3

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  • A piecewise-linear homotopy method with the use of the Newton homotopy and a polyhedral subdivision Reviewed

    K.Yamamura, M.Kiyoi

    Trans. IEICE   E73 ( 1 )   140 - 148   1990.1

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  • A piecewise-linear homotopy method with the use of the Newton homotopy and a polyhedral subdivision

    K.Yamamura, M.Kiyoi

    Trans. IEICE   E73 ( 1 )   140 - 148   1990.1

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  • 非線形方程式の変数分離可能性を利用した整数ラベリング法 Reviewed

    山村清隆, 落合信

    電子情報通信学会論文誌(A)   J72-A ( 11 )   1807 - 1813   1989.11

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  • Solving nonlinear resistive networks by a homotopy method using a rectangular subdivision

    K.Yamamura, K.Horiuchi

    Trans. IEICE   E72 ( 5 )   584 - 594   1989.5

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  • Solving nonlinear resistive networks by a homotopy method using a rectangular subdivision Reviewed

    K.Yamamura, K.Horiuchi

    Trans. IEICE   E72 ( 5 )   584 - 594   1989.5

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  • THE USE OF EXTRAPOLATION FOR THE PROBLEM OF COMPUTING ACCURATE BIFURCATION VALUES OF PERIODIC RESPONSES

    K YAMAMURA, K HORIUCHI

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS   36 ( 4 )   628 - 631   1989.4

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    DOI: 10.1109/31.92896

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  • THE USE OF EXTRAPOLATION FOR THE PROBLEM OF COMPUTING ACCURATE BIFURCATION VALUES OF PERIODIC RESPONSES

    K YAMAMURA, K HORIUCHI

    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS   36 ( 4 )   628 - 631   1989.4

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    DOI: 10.1109/31.92896

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  • Quadratic convergence of the homotopy method using a rectangular subdivision

    K.Yamamura, K.Horiuchi

    Trans. IEICE   E72 ( 3 )   188 - 193   1989.3

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  • Quadratic convergence of the homotopy method using a rectangular subdivision Reviewed

    K.Yamamura, K.Horiuchi

    Trans. IEICE   E72 ( 3 )   188 - 193   1989.3

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  • 変数分離が不可能な非線形方程式に対する直方体法の適用 Reviewed

    福山健次郎, 山村清隆, 堀内和夫

    電子情報通信学会論文誌(A)   J72-A ( 3 )   625 - 627   1989.3

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  • 非線形回路解析におけるホモトピー法の収束性について Reviewed

    山村清隆, 堀内和夫

    電子情報通信学会論文誌(A)   J72-A ( 1 )   156 - 159   1989.1

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  • ニュートンホモトピーと直方体分割を用いた非線形回路網の直流解析法 Reviewed

    山村清隆, 堀内和夫

    電子情報通信学会論文誌(A)   J71-A ( 8 )   1756 - 1759   1988.9

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  • Solving nonlinear resistive networks by a homotopy method using a rectangular subdivision Reviewed

    K.Yamamura, K.Horiuchi

    Proc. IEEE Int. Symp. Circuits and Systems   88 ( 35 )   1225 - 1228   1988.6

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  • Solving nonlinear resistive networks by a homotopy method using a rectangular subdivision

    K.Yamamura, K.Horiuchi

    Proc. IEEE Int. Symp. Circuits and Systems   1225 - 1228   1988.6

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  • 不動点ホモトピーを用いた非線形抵抗回路の大域的求解法―トポロジカル定式化による解析― Reviewed

    久保浩之, 山村清隆, 大石進一, 堀内和夫

    電子情報通信学会論文誌(A)   J71-A ( 5 )   1139 - 1145   1988.5

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  • 非線形系における周期解の精密計算法について Reviewed

    山村清隆, 堀内和夫

    電子情報通信学会論文誌(A)   J70-A ( 11 )   1568 - 1575   1987.11

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  • 不動点ホモトピーを用いた非線形抵抗回路の大域的求解法 Reviewed

    山村清隆, 久保浩之, 堀内和夫

    電子情報通信学会論文誌(A)   J70-A ( 10 )   1430 - 1438   1987.10

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  • 周期解の分岐値の計算におけるNewton法の2次収束性について Reviewed

    山村清隆, 堀内和夫

    電子情報通信学会論文誌(A)   J70-A ( 8 )   1199 - 1202   1987.8

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  • 非線形振動回路の定常解析におけるNewton法について Reviewed

    山村清隆, 堀内和夫

    電子情報通信学会論文誌(A)   J70-A ( 1 )   54 - 64   1987.1

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  • Solving nonlinear resistive networks by a homotopy algorithm using a rectangular subdivision

    Proc. Joint Tech. Conf. Circuits and Systems   255 - 260   1987

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  • スパース非線形方程式系に対する準ニュートン法について Reviewed

    山村清隆, 堀内和夫

    電子通信学会論文誌(A)   J69-A ( 3 )   472 - 474   1986.3

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  • 反復分解法による非線形振動回路の定常解析 Reviewed

    山村清隆, 堀内和夫

    電子通信学会論文誌(A)   J68-A ( 8 )   717 - 724   1985.8

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  • Iterative decomposition method with mesh refinements for numerical solution of nonlinear two-point boundary value problems Reviewed

    K.Yamamura, S.Oishi, K.Horiuchi

    Trans. IECE Japan   E68 ( 6 )   382 - 383   1985.6

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  • A decomposition method based on simplicial approximation for the numerical analysis of nonlinear systems Reviewed

    K.Yamamura, S.Oishi, K.Horiuchi

    Proc. IEEE Int. Symp. Circuits and Systems   635 - 638   1985.6

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  • Iterative decomposition method with mesh refinements for numerical solution of nonlinear two-point boundary value problems

    K.Yamamura, S.Oishi, K.Horiuchi

    Trans. IECE Japan   E68 ( 6 )   382 - 383   1985.6

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  • A decomposition method based on simplicial approximation for the numerical analysis of nonlinear systems

    K.Yamamura, S.Oishi, K.Horiuchi

    Proc. IEEE Int. Symp. Circuits and Systems   635 - 638   1985.6

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  • 単体近似ホモトピー法を用いた非線形二点境界値問題の解法 Reviewed

    山村清隆, 大石進一, 堀内和夫

    電子通信学会論文誌(A)   J67-A ( 12 )   1123 - 1129   1984.12

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  • 非線形方程式を解くための反復分解アルゴリズムの加速法 Reviewed

    山村清隆, 大石進一, 堀内和夫

    電子通信学会論文誌(A)   J67-A ( 9 )   922 - 923   1984.9

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  • 不動点アルゴリズムにおける分割解法とその加速について Reviewed

    山村清隆, 大石進一, 堀内和夫

    電子通信学会論文誌(A)   J67-A ( 4 )   269 - 276   1984.4

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  • 非線形回路方程式の複数根を求めるためのシンプリシャル不動点アルゴリズム Reviewed

    高瀬忠明, 大石進一, 井尾秀明, 山村清隆

    電子通信学会論文誌(A)   J66-A ( 11 )   1122 - 1129   1983.11

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  • 不動点アルゴリズムにおけるベクトルラベリング法とアレイプロセッサ Reviewed

    大石進一, 高瀬忠明, 山村清隆

    電子通信学会論文誌(A)   J66-A ( 10 )   985 - 992   1983.10

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  • Kevorkian分割を用いた連立非線形方程式の解法アルゴリズムとその2次収束性 Reviewed

    山村清隆, 大石進一, 堀内和夫

    電子通信学会論文誌(A)   J66-A ( 10 )   962 - 969   1983.10

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  • A PL homotopy continuation algorithm for computing the capacity of arbitrary discrete memoryless channels

    情報理論とその応用研究会第6回シンポジウム資料   1 - 6   1983

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Presentations

  • A Predictor-Corrector Method Where the Problem of Jumping onto Different Solution Curves is Improved

    Yoshiaki Kinoshita, Kiyoshi Adachi, Kiyotaka Yamamura

    2016年電子情報通信学会総合大会  2016.3 

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  • Finding All Solutions of Piecewise-Linear Circuits Using Excel

    Daiki Koyama, Suguru Ishiguro, Kiyotaka Yamamura

    2015年電子情報通信学会ソサイエティ大会  2015.9 

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  • 整数計画法を用いた非線形回路の混合方程式及び状態方程式の導出

    岡本大輝, 滝裕至, 山村清隆

    電子情報通信学会総合大会  2015.3 

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  • 多角形LPテストを用いた非線形回路の全解探索法

    木南翔太, 山村清隆

    電子情報通信学会ソサイエティ大会  2013.9 

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  • 整数計画法を用いた区分的線形抵抗回路の完全解析

    高木謙吾, 滝裕至, 前田礼維, 山村清隆

    電子情報通信学会ソサイエティ大会  2013.9 

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  • アフィン演算とLP縮小を用いた非線形回路の全解探索法

    小林玄宙, 三島和博, 山村清隆

    電子情報通信学会総合大会  2012.3 

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  • SPICEを用いた非線形回路の状態方程式の導出

    久保田新悟, 山村清隆

    電子情報通信学会ソサイエティ大会  2011.9 

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  • GLPKを用いた区分的線形回路の全解探索法

    田村直也, 金子雄輔, 山村清隆

    電子情報通信学会技術研究報告  2010.1 

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  • 可変利得ニュートンホモトピー法を用いたMOSトランジスタ回路の直流動作点解析

    小山裕大, 戸野倉充, 山村清隆

    電子情報通信学会技術研究報告  2009.12 

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  • 整数計画法を用いた区分的線形回路の全解探索法

    田村直也, 山村清隆

    電子情報通信学会技術研究報告  2009.9 

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  • LP縮小を用いた非線形回路の全解探索法

    田村直也, 三島和博, 山村清隆

    電子情報通信学会ソサイエティ大会講演論文集  2009.9 

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  • SPICEによる混合方程式の導出

    山村清隆, 戸野倉充, 小山裕大

    電子情報通信学会技術研究報告,電子情報通信学会  2008.10 

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  • LP縮小を用いた大規模非線形方程式の全解探索法

    山村清隆

    第37回数値解析シンポジウム講演予稿集  2008.6 

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  • An efficient algorithm for finding all DC solutions of piecewise-linear circuits

    Kiyotaka Yamamura, Mitsuru Tonokura, Wataru Takahashi

    IEICE Technical Report/IEICE  2008.3 

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  • 理論が実用になるまで(招待講演)

    山村清隆

    電子情報通信学会四国支部講演会,電子情報通信学会  2007.12 

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  • DC tolerance analysis of nonlinear circuits using set-valued functions

    Kiyotaka Yamamura, Yasuaki Haga

    IEICE Technical Report/IEICE  2007.10 

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  • ネットリストによる混合方程式の導出

    山村清隆, 須田広紀

    電子情報通信学会技術研究報告,電子情報通信学会  2007.6 

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  • An efficient variable gain homotopy method using the SPICE-oriented approach

    Wataru Kuroki, Kiyotaka Yamamura

    第20回 回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  2007.4 

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  • A SPICE-oriented method for finding DC operating points of nonlinear circuits containing piecewise-linear macromodels

    Wataru Kuroki, Kiyotaka Yamamura

    電子情報通信学会技術研究報告,電子情報通信学会  2006.10 

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  • A SPICE-oriented method for finding DC operating points of nonlinear circuits containing piecewise-linear macromodels

    Wataru Kuroki, Kiyotaka Yamamura

    電子情報通信学会ソサイエティ大会講演論文集,電子情報通信学会  2006.9 

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  • An efficient algorithm for finding all DC solutions of nonlinear circuits

    Koki Suda, Wataru Kuroki, Kiyotaka Yamamura

    電子情報通信学会技術研究報告,電子情報通信学会  2006.6 

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  • SPICEに簡単に実装できる効率的なホモトピー法

    黒木渉, 山村清隆

    第19回 回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  2006.4 

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  • An efficient variable-gain homotopy method using the SPICE-oriented approach

    Wataru Kuroki, Kiyotaka Yamamura

    電子情報通信学会総合大会講演論文集,電子情報通信学会  2006.3 

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  • SPICE指向型数値解析法(招待講演)

    山村清隆

    電子情報通信学会総合大会  2006.3 

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  • SPICEに簡単に実装できる効率的なホモトピー法

    黒木渉, 山村清隆

    電子情報通信学会総合大会講演論文集  2006.3 

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  • パス追跡回路 ---式を回路で記述するSPICE指向型数値解析法---(招待講演)

    山村清隆

    日本オペレーションズ・リサーチ学会 第17回 RAMPシンポジウム論文集  2005.10 

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  • SPICEに簡単に実装できる効率的なホモトピー法

    山村清隆, 黒木渉, 井上靖秋

    電子情報通信学会技術研究報告  2005.9 

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  • パス追跡回路を用いた可変利得ニュートンホモトピー法のSPICE上への実装

    黒木渉, 山村清隆, 井上靖秋

    電子情報通信学会技術研究報告  2005.9 

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  • SPICE指向型数値解析法 ---パス追跡回路を用いた様々な回路解析法のSPICE上への実装---

    黒木渉, 山村清隆, 頼犁

    第18回 回路とシステム軽井沢ワークショップ論文集  2005.4 

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  • An efficient homotopy method for finding DC operating points of nonlinear circuits

    Kiyotaka Yamamura, Yu Imai, Yasuaki Inoue

    第18回 回路とシステム軽井沢ワークショップ論文集  2005.4 

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  • An efficient homotopy method for finding DC operating points of nonlinear circuits

    Kiyotaka Yamamura, Naoki Suzuki, Yu Imai, Yasuaki Inoue

    電子情報通信学会技術研究報告  2005.3 

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  • 理論が実用になるまで

    山村清隆

    第40回先端技術講演会  2004.10 

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  • パス追跡回路 --- 式を回路で記述するSPICE指向型数値解析法 ---(招待講演)

    山村清隆, 黒木渉, 井上靖秋

    電子情報通信学会技術研究報告  2004.9 

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  • パス追跡回路 --- 式を回路で記述するSPICE指向型数値解析法 ---

    山村清隆

    第33回数値解析シンポジウム講演予稿集  2004.5 

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  • 非線形回路の直流動作点の大域的求解法(招待講演)

    山村清隆

    第17回 回路とシステム軽井沢ワークショップ論文集  2004.4 

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  • A homotopy method using nonlinear auxiliary function

    Yasuaki Inoue, Yu Imai, Makoto Ando, Kiyotaka Yamamura

    第17回 回路とシステム軽井沢ワークショップ論文集  2004.4 

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  • パス追跡回路 --- 式を回路で記述するSPICE指向型数値解析法 ---

    黒木渉, 大熊秀明, 山村清隆, 井上靖秋

    第17回 回路とシステム軽井沢ワークショップ論文集  2004.4 

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  • パス追跡回路を用いた非線形問題の解法

    山村清隆, 大熊秀明, 井上靖秋

    電子情報通信学会技術研究報告  2003.9 

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  • Finding all solutions of piecewise-linear resistive circuits using the simplex method

    Kiyotaka Yamamura, Takehisa Kitakawa

    電子情報通信学会技術研究報告  2003.7 

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  • An effective initial solution algorithm for globally convergent homotopy methods

    Yasuaki Inoue, Saeko Kusanobu, Makoto Ando, Kiyotaka Yamamura

    電子情報通信学会 第16回 回路とシステム軽井沢ワークショップ論文集  2003.4 

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  • An interval algorithm for finding all solutions of nonlinear resistive circuits

    Naoya Igarashi, Kiyotaka Yamamura

    電子情報通信学会 第16回 回路とシステム軽井沢ワークショップ論文集  2003.4 

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  • 理論が実用になるまで(招待講演)

    山村清隆

    京都大学数理解析研究所研究集会「微分方程式の離散化手法と数値計算アルゴリズム」  2001.11 

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  • 高次元陰関数曲線の高速表示法

    山村清隆, 熊倉孝義

    第17回NICOGRAPH論文コンテスト論文集  2001.11 

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  • 理論が実用になるまで

    山村清隆

    京都大学数理解析研究所研究集会講究録「微分方程式の離散化手法と数値計算アルゴリズム」  2001.11 

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  • 集合値写像により記述される区分的台形回路のすべての解を求めるアルゴリズム

    山村清隆, 島田雅之, 兵藤弘章

    電子情報通信学会技術研究報告  2001.7 

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  • 双対単体法を用いた非線形方程式の全解探索法

    山村清隆

    第30回数値解析シンポジウム講演予稿集  2001.5 

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  • 双対単体法を用いた非線形回路のすべての特性曲線の探索

    熊倉孝義, 中村理, 山村清隆

    第14回回路とシステム軽井沢ワークショップ論文集  2001.4 

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  • 双対単体法を用いた非線形方程式の全解探索法

    第30回数値解析シンポジウム講演予稿集  2001 

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  • 集合値写像により記述される区分的台形回路のすべての解を求めるアルゴリズム

    電子情報通信学会技術研究報告  2001 

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  • 高次元陰関数曲線の高速表示法

    第17回NICOGRAPH論文コンテスト論文集  2001 

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  • 双対単体法を用いた非線形方程式の全解探索法

    山村清隆, 藤岡剛, 田中茂

    電子情報通信学会非線形問題研究会,浜松  2000.12 

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  • 双対単体法を用いた区分的線形回路の全解探索法

    山村清隆, 藤岡剛, 田中茂

    電子情報通信学会技術研究報告  2000.12 

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  • ホモトピー法による高分子溶液の多相平衡の計算Ⅱ

    山村清隆, 三川敬久, 土橋敏明

    電子情報通信学会技術研究報告  2000.10 

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  • 線形計画法を用いた非線形抵抗回路の特性曲線の探索

    山村清隆, フィトラグナワン, 蓬田幸二

    電子情報通信学会非線形問題研究会,仙台  2000.5 

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  • Finding all solutions of piecewise-linear resistive circuits using the dual simplex method

    K.Yamamura, S.Tanaka

    数理解析研究所講究録1147、短期共同研究『精度保証付き数値計算法とその周辺』  2000.4 

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  • ホモトピー法をによる多相平衡の計算Ⅱ

    三川敬久, 村山清隆, 土橋敏明

    第48回高分子学会年次大会(京都)  2000.3 

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  • Phase diagram of polystyrene in cyclohexane in φ-T-P space

    Y.Mikawa, T.Dobashi, K.Yamakawa, M.Nakara

    第11回日本MRS学術シンポジウム(神奈川)  1999.12 

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  • Finding all solutions of nonlinear equations using linear combinations of functions

    K.Yamamura, S.Tanaka

    International Symposium on Nonlinear Theory and its Applications(Hawaii)  1999.11 

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  • Finding all solutions of nonlinear equations using the dual simplex method

    K.Yamamura, S.Tanaka

    京都大学数理解析研究所短期共同研究 『精度保証付き数値計算法とその周辺』 (京都)  1999.10 

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  • ホモトピー法による多層平衡の計算II

    三川敬久, 山村清隆, 土橋敏明

    第48回高分子学会年次大会予稿集  1999.5 

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  • 線形計画法を用いた抵抗回路の変動解析

    山村清隆, 酒井健司

    電子情報通信学会総合大会,神奈川  1999.3 

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  • 改良符号テストを用いた区分的線形回路の全解探索

    山村清隆, 本田英之

    電子情報通信学会技術研究報告  1998.12 

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  • 集合写植像により記述される区分的台形回路のすべての解を求めるアルゴリズム

    山村清隆, 湯浅拓也

    電子情報通信学会ソサイエティ大会,神奈川  1998.9 

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  • 集合値写像により記述される区部的台形回路のすべての解を求めるアルゴリズム

    山村清隆, 湯浅拓也

    1998年電子情報通信学会ソサイエティ大会講演論文集  1998.9 

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  • 不動点ホモトピーを用いた修正節点方程式の大域的求解法

    山村清隆, 高橋重憲

    電子情報通信学会技術研究報告,電子情報通信学会  1998.7 

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  • あるクラスの非線形方程式に対する線形計画法を用いたすべての解を求めるアルゴリズム

    山村清隆, 西澤真樹

    電子情報通信学会技術研究報告  1998.4 

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  • 単体法を用いた区分的線形回路の全解探索法

    田中茂, 山村清隆

    第11回回路とシステム軽井沢ワークショップ,軽井沢  1998.4 

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  • ホモトピー法の実用化に関する二、三の話題-理論が実用になるまで-

    山村清隆

    京都大学数理解析研究所講究録1040、『数値計算アルゴリズムの研究』研究集会報告集  1998.4 

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  • あるクラスの非線形方程式に対する線形計画法を用いたすべての解を求めるアルゴリズム

    山村清隆, 西澤真樹

    電子情報通信学会技術研究報告,電子情報通信学会  1998.3 

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  • Interval solution of nonlinear equations using linear programming

    K. Yamamura

    International Workshop on Reliability of Numerical Computation, Tokyo  1997.10 

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  • 線形計画法を用いた非線形方程式の全解探索法

    山村清隆

    情報処理学会数理モデル化と問題解決研究会,群馬,(招待講演),情報処理学会  1997.7 

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  • ホモトピー法による高分子溶液の多相平衡の計算

    山村清隆, 土橋敏明, 稲熊雄一, 蓬田幸二, 近藤千夏

    電子情報通信学会非線形問題研究会,山形,電子情報通信学会  1997.7 

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  • Interval solution of nonlinear equations using linear programming

    K. Yamamura

    IEEE International Symposium on Circuits and Systems, Hong Kong  1997.6 

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  • 線形計画法を用いた区間解析による非線形方程式のすべての解の探索

    山村清隆, 川田仁美, 徳江愛

    第10回回路とシステム軽井沢ワークショップ,軽井沢,電子情報通信学会  1997.4 

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  • 線形計画法を用いた区間解析

    山村清隆

    京都大学数理解析研究所講究録990,「科学技術における数値計算の理論と応用Ⅱ」,京都,京都大学数理解析研究所  1997.4 

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  • あるクラスの非線形方程式に対する線形計画法を用いたすべての解を求めるアルゴリズム

    山村清隆, 西澤真樹

    電子情報通信学会非線形問題研究会,神奈川,電子情報通信学会  1997.4 

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  • 線形計画法を用いた非線形方程式の全解探索法

    情報処理学会数理モデル化と問題解決研究会,群馬,(招待講演),情報処理学会  1997 

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  • Interval analysis using linear programming II

    K.Yamamura, A.Tokue, H.Kawata

    電子情報通信学会技術研究報告,電子情報通信学会  1996.11 

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming II

    K.Yamamura, T.Ohshima

    電子情報通信学会技術研究報告,電子情報通信学会  1996.9 

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  • 線形計画法を用いた区間解析

    山村清隆, 川田仁美, 徳江愛

    第12回ファジィシステムシンポジウム講演論文集,日本ファジィ学会  1996.8 

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  • Interval analysis using linear programming

    K.Yamamura, A.Tokue, H.Kawata

    電子情報通信学会技術研究報告,電子情報通信学会  1996.6 

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  • A globally convergent algorithm using the fixed-point homotopy for solving modified nodal equations

    K.Yamamura, T.Sekiguchi, Y.Inoue

    電子情報通信学会技術研究報告,電子情報通信学会  1996.6 

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  • 線形計画法を用いた区間解析

    山村清隆

    第25回数値解析シンポジウム講演予稿集,数値解析シンポジウム実行委員会  1996.5 

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    K.Yamamura, T.Ohshima, K.Yomogita

    第9回回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  1996.4 

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  • 非線形抵抗回路の安定解の探索法について

    山村清隆, 川田仁美, 徳江愛, 関口亭

    電子情報通信学会技術研究報告,電子情報通信学会  1995.10 

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  • 区間解析を用いた非線形抵抗回路のすべての解を求めるアルゴリズム

    山村清隆, 川田仁美, 徳江愛

    電子情報通信学会技術研究報告,電子情報通信学会  1995.8 

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  • Finding all solutions of piecewise-linear resistive circuits using linear programming

    K.Yamamura, T.Ohshima

    電子情報通信学会技術研究報告,電子情報通信学会  1995.8 

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  • 非線形抵抗回路のすべての解を求める効率的な区間解析アルゴリズム

    山村清隆, 徳江愛, 川田仁美

    第8回回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  1995.4 

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  • An algorithm for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura, M.Mishina

    第8回回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  1995.4 

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  • 多変数関数を一変数関数の和で表現するアルゴリズム

    山村清隆

    京都大学数理解析研究所講究録880,京都大学数理解析研究所  1994.7 

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  • Modified spherical algorithms for tracing solution curves

    K.Yamamura, T.Sekiguchi

    電子情報通信学会技術研究報告,電子情報通信学会  1994.7 

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  • ホモトピー法/Katzenelson法ベース回路シミュレータの可能性(招待講演)

    山村清隆

    第7回回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  1994.4 

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  • Finding all solutions of piecewise-linear resistive circuits containing sophisticated transistor models

    K.Yamamura, O.Matsumoto, M.Mishina, N.Sekiguchi

    第7回回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  1994.4 

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  • Improving the convergence of spherical algorithms for tracing solution curves

    K.Yamamura

    電子情報通信学会技術研究報告,電子情報通信学会  1993.11 

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  • Finding all solutions of piecewise-linear resistive circuits

    K.Yamamura

    電子情報通信学会技術研究報告,電子情報通信学会  1993.11 

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  • 多変数関数を一変数関数の和で表現するアルゴリズムⅡ

    山村清隆, 村山泰子

    電子情報通信学会技術研究報告,電子情報通信学会  1993.6 

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  • 多変数関数を一変数関数の和で表現するアルゴリズムⅠ

    山村清隆, 村山泰子

    電子情報通信学会技術研究報告,電子情報通信学会  1993.6 

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  • Piecewise-linear analysis of nonlinear resistive networks containing Gummel-Poon models or Shichman-Hodges models

    K.Yamamura, N.Sekiguchi

    電子情報通信学会技術研究報告,電子情報通信学会  1993.6 

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  • A simple algorithm for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura, R.Nobusawa

    電子情報通信学会技術研究報告,電子情報通信学会  1992.9 

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  • On piecewise-linear approximation of nonlinear mappings containing Gummel-Poon models or Shichman-Hodges models

    K.Yamamura

    Proc. Joint Tech. Conf. Circuits/Systems, Computers and Commun.  1992.7 

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  • Algorithms for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura, N.Sekiguchi

    Proc. Third Symp. Nonlinear Theory and Its Applications/Research Society of Nonlinear Theory and its Applications  1992.7 

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  • Simple algorithms for tracing solution curves

    K.Yamamura

    京都大学数理解析研究所講究録787,京都大学数理解析研究所  1992.6 

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  • 非線形抵抗回路網に対する2次収束性をもつKatze-nelson法

    山村清隆, 曹廷輻, 関口信夫

    第5回回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  1992.4 

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  • A simple algorithm for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura, R.Nobusawa

    第5回回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  1992.4 

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  • Finding all solutions of piecewise-linear resistive circuits using simple sign tests

    K.Yamamura

    電子情報通信学会技術研究報告,電子情報通信学会  1992.1 

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  • Simple algorithms for tracing solution curves

    K.Yamamura

    電子情報通信学会技術研究報告,電子情報通信学会  1991.11 

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  • Computation of constrained channel capacity by Newton's method

    K.Yamamura, K.Hashimoto

    Proc. Joint Tech. Conf. Circuits/Systems, Computers and Commun.  1991.7 

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  • Detecting separability of nonlinear mappings using computational graphs

    K.Yamamura, M.Kiyoi

    Proc. Second Symp. Nonlinear Theory and Its Applications/Research Society of Nonlinear Theory and its Applications  1991.7 

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  • An efficient global optimization algorithm for solving Hopfield networks

    A.Ushida, K.Yamamura

    Proc. Second Symp. Nonlinear Theory and Its Applications/Research Society of Nonlinear Theory and its Applications  1991.7 

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  • 区分的線形回路方程式のすべての解を求める効率的なアルゴリズム

    山村清隆

    第20回数値解析シンポジウム講演予稿集,数値解析シンポジウム実行委員会  1991.6 

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  • An efficient algorithm for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura, M.Ochiai

    京都大学数理解析研究所講究録748,京都大学数理解析研究所  1991.4 

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  • A fast algorithm for computing all solutions of piecewise-linear resistive circuits

    K.Yamamura, M.Ochiai

    第4回回路とシステム軽井沢ワークショップ論文集,電子情報通信学会  1991.4 

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  • An efficient algorithm for finding all solutions of piecewise-linear resistive circuits

    K.Yamamura, M.Ochiai

    電子情報通信学会技術研究報告,電子情報通信学会  1991.1 

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  • 非線形計画問題に対する区分的線形ホモトピー法

    山村清隆, 新井かおり, 清井雅広

    電子情報通信学会技術研究報告,電子情報通信学会  1990.9 

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  • 整数ラベリング法の効率化に関する一考察

    山村清隆, 加藤恵子, 落合信

    Proc. First Symp. Nonlinear Theory and Its Applications,Research Society of Nonlinear Theory and its Applications  1990.7 

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  • 分割解法による区間解析の効率化について

    山村清隆, 牛田明夫

    電子情報通信学会技術研究報告,電子情報通信学会  1990.6 

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  • 大域的収束性をもつニュートン法による通信路容量の高速計算

    山村清隆, 仲山まさみ

    第19回数値解析シンポジウム講演予稿集,数値解析シンポジウム実行委員会  1990.6 

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  • 記憶のない離散的通信路に対する直方体分割を用いた通信路容量の計算法

    山村清隆, 福山健次郎, 堀内和夫

    電子情報通信学会技術研究報告,電子情報通信学会  1989.7 

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  • ニュートンホモトピーと多面体分割を用いた区分的線形ホモトピー法

    山村清隆, 清井雅広

    電子情報通信学会技術研究報告,電子情報通信学会  1989.7 

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  • 非線形方程式の変数分離可能性を利用した整数ラベリング法

    山村清隆, 落合信

    電子情報通信学会技術研究報告,電子情報通信学会  1989.6 

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  • 大域的収束性と2次収束性をもつ非線形電子回路網の数値解析法

    山村清隆

    第18回数値解析シンポジウムプログラム講演予稿集,数値解析シンポジウム実行委員会  1989.6 

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  • 直方体分割を用いたホモトピー法の適用範囲の拡張

    福山健次郎, 山村清隆, 堀内和夫

    電子情報通信学会技術研究報告,電子情報通信学会  1989.4 

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  • 直方体分割を用いたホモトピー法の2次収束性について

    山村清隆, 佐藤証, 堀内和夫

    電子情報通信学会技術研究報告,電子情報通信学会  1988.9 

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  • 直方体分割を用いたホモトピー法による非線形抵抗回路網の数値解析

    山村清隆, 佐藤証, 福山健次郎, 堀内和夫

    電子情報通信学会技術研究報告,電子情報通信学会  1988.5 

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  • 非線形回路解析におけるホモトピー法の収束性について

    山村清隆, 堀内和夫

    電子情報通信学会技術研究報告,電子情報通信学会  1987.11 

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  • 直方体分割を用いた非線形抵抗回路の並列解析法

    山村清隆

    第10回情報理論とその応用シンポジウム予稿集,情報理論とその応用学会  1987.11 

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  • 不動点ホモトピーを用いた非線形抵抗回路の大域的求解法―トポロジカル定式化による解析―

    久保浩之, 山村清隆, 大石進一, 堀内和夫

    電子情報通信学会技術研究報告,電子情報通信学会  1987.8 

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  • Solving nonlinear resistive networks by a homotopy algorithm using a rectangular subdivision

    K.Yamamura, K.Horiuchi

    Proc. Joint Tech. Conf. Circuits and Systems  1987.7 

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  • 周期解の分岐問題に対する極限補外法の適用

    山村清隆, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1987.5 

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  • 混合方程式により記述される非線形抵抗回路の大域的求解法

    山村清隆, 久保浩之, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1987.1 

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  • 非線形系における周期解の精密計算法について

    山村清隆, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1986.12 

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  • 単体近似ホモトピー法による非線形振動回路の定常解析

    山村清隆

    第9回情報理論とその応用シンポジウム予稿集,情報理論とその応用学会  1986.10 

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  • 周期解の分岐値計算におけるNewton法の二次収束性について

    山村清隆, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1986.7 

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  • 非線形振動回路の定常解析におけるNewton法について―定常周期解及びその分岐値の計算―

    山村清隆, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1986.4 

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  • 非線形振動回路の定常解析におけるNewton法について

    山村清隆, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1985.12 

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  • スパース非線形方程式系に対する準ニュートン法について

    山村清隆, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1985.8 

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  • 反復分解法による非線形振動回路の定常解析

    山村清隆, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1984.12 

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  • 不動点アルゴリズムを用いた最適スカラー量子化器の一設計法

    佐藤仁樹, 山村清隆, 大石進一, 堀内和夫

    情報理論とその応用研究会第7回シンポジウム資料,情報理論とその応用研究会  1984.11 

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  • 反復分解法による非線形二点境界値問題の解析

    山村清隆, 大石進一, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1984.6 

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  • 不動点アルゴリズムを用いた非線形境界値問題の一解析法

    山村清隆, 大石進一, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1984.3 

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  • A PL homotopy continuation algorithm for computing the capacity of arbitrary discrete memoryless channels

    S.Oishi,et

    情報理論とその応用研究会第6回シンポジウム資料,情報理論とその応用研究会  1983.11 

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  • 不動点アルゴリズムにおける分割解法とその加速について

    山村清隆, 大石進一, 堀内和夫

    電子通信学会技術研究報告,電子通信学会  1983.8 

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  • 篠原氏の方法に基づく新しい単体近似不動点アルゴリズム

    大石進一

    電子通信学会技術研究報告,電子通信学会  1983.5 

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  • Kevorkian分解を用いた連立非線形方程式の解法アルゴリズムとその2次収束性

    山村清隆, 山村賢二, 大石進一

    電子通信学会技術研究報告,電子通信学会  1983.3 

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  • 非線形回路方程式の複数根を求めるためのシンプリシャル不動点アルゴリズム

    大石進一, 高瀬忠明, 井尾秀明, 山村清隆

    電子通信学会技術研究報告,電子通信学会  1983.2 

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  • イグザクトマクロモデルと不動点アルゴリズム

    大石進一, 山村清隆, 高瀬忠明

    電子通信学会技術研究報告,電子通信学会  1982.12 

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  • 不動点アルゴリズムにおけるベクトルラベリング法とアレイプロセッサ

    大石進一, 高瀬忠明, 山村清隆

    電子通信学会技術研究報告,電子通信学会  1982.10 

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Works

  • 大規模集積回路の大域的求解法の開発とその実用化に関する研究

    2013.4 -  

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  • 大規模非線形システムの実用的な大域的求解法に関する研究

    2008.4 -  

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  • SPICE指向型数値解析法による大規模集積回路解析に関する研究

    2007.4 -  

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  • 大規模集積回路の大域的求解法の開発とその応用・実用化に関する研究

    2005.4 -  

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  • 非線形システムの数値解析法の開発とLSI設計への応用に関する研究

    2003.4 -  

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  • 非線形システムの数値解析法の開発とその応用・実用化に関する研究

    2002.4 -  

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  • 非線形システムの解析手法の開発とその応用に関する研究

    2000.4 -  

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  • 非線形システムの数値解析法の開発とその応用に関する研究

    1999.4 -  

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  • 線形計画法を用いた非線形システムの解析手法の開発とLSI設計への応用

    1999.4 -  

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  • 線形計画法を用いた非線形システムの全解探索アルゴリズムの開発とLSI設計への応用

    1997.4 -  

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Awards

  • 電子情報通信学会フェロー表彰

    2017.3   電子情報通信学会   非線形システムの大域的求解法に関する研究

    山村清隆

  • 中央大学学術研究奨励賞

    2017.3   Chuo University  

    Kiyotaka Yamamura

  • IEEE APCCAS Best Paper Award

    2016.10   IEEE   解曲線追跡のための修正予測子修正子法

    Kiyotaka Yamamura, Kiyoshi Adachi

  • 中央大学学術研究奨励賞

    2008.3   中央大学  

  • IEEE ICCCAS 2007 Best Paper Award

    2007.7   IEEE   An efficient and practical algorithm for finding all DC solutions of nonlinear circuits

    Kiyotaka Yamamura, Koki Suda

  • IEEE ICCCAS 2007 Best Paper Award

    2007  

  • 中央大学学術研究奨励賞

    2005.3   中央大学  

  • 市村学術賞 功績賞

    2004.4   新技術開発財団   大規模集積回路の大域的求解法の開発とその実用化に関する研究

  • 船井情報科学振興賞

    2004.4   船井情報科学振興財団   大規模集積回路の大域的求解法の開発とその実用化に関する研究

  • 中央大学学術研究奨励賞

    2004.3   中央大学  

  • 情報処理学会業績賞

    2003.5   情報処理学会   大規模集積回路網の大域的求解法の開発とその実用化に関する研究

  • 中央大学学術研究奨励賞

    2003.3   中央大学  

  • 電気通信普及財団賞(テレコムシステム技術賞)

    2002.3   電気通信普及財団  

  • 中央大学学術研究奨励賞

    2001.3   中央大学  

  • 第48回オーム技術賞

    2000.11   電気科学技術奨励会  

  • 中央大学学術研究奨励賞

    2000.3   中央大学  

  • 日本IBM科学賞

    1999.12   日本IBM科学賞審査委員会   非線形システムの数値解析法の開発とその応用に関する研究

  • 電子情報通信学会論文賞

    1999.5   電子情報通信学会  

  • 電気通信普及財団賞(テレコムシステム技術賞)

    1999.3   電気通信普及財団  

  • 電気通信普及財団賞(テレコムシステム技術賞)

    1990.3   電気通信普及財団  

  • 井上研究奨励賞

    1989.2   井上科学振興財団  

  • 電子情報通信学会篠原記念学術奨励賞

    1986.3   電子情報通信学会  

  • 丹羽記念賞

    1986.2   丹羽記念会  

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Research Projects

  • Study on globally convergent algorithms for solving nonlinear systems using mathematical techniques

    Grant number:18K04151  2018.4 - 2023.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)  Chuo University

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    Grant amount: \4420000 ( Direct Cost: \3400000 、 Indirect Cost: \1020000 )

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  • Study on practical methods for global analysis of large-scale nonlinear systems

    2008.4 - 2013.3

    文部科学省  科学研究費補助金 基盤研究(C) 

    山村 清隆

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    Grant type:Competitive

    Grant amount: \3500000

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  • SPICE指向型数値解析法による大規模集積回路解析に関する研究

    2007.4 - 2009.3

    中央大学理工学研究所共同研究 

    山村清隆

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    Grant type:Competitive

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  • 非線形システムの数値解析法の開発とLSI設計への応用に関する研究

    2003.4 - 2006.3

    中央大学理工学研究所  中央大学理工学研究所共同研究 

    山村清隆

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    Grant type:Competitive

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  • 非線形システムの数値解析法の開発とその応用・実用化に関する研究

    2002.4 - 2005.3

    文部科学省  科学研究費補助金(基盤研究C2) 

    山村清隆

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    Grant type:Competitive

    Grant amount: \2900000

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  • 線形計画法を用いた非線形システムの解析手法の開発とLSI設計への応用

    1999.4 - 2002.3

    文部科学省  科学研究費補助金(基盤研究C) 

    山村清隆

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    Grant type:Competitive

    Grant amount: \3400000

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  • 非線形システムの解析手法の開発とその応用に関する研究

    2000.4 - 2001.3

    中央大学  中央大学特殊研究助成費 

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    Grant type:Competitive

    Grant amount: \715000

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  • 非線形システムの数値解析法の開発とその応用に関する研究

    1999.4 - 2001.3

    本学研究所からの研究費 

    山村清隆

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  • 線形計画法を用いた非線形システムの全解探索アルゴリズムの開発とLSI設計への応用

    1997.4 - 1999.3

    文部科学省  科学研究費補助金(奨励研究A) 

    山村清隆

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    Grant type:Competitive

    Grant amount: \2100000

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  • Research of Computer aided Nonlinear Analysis with Flexibility

    Grant number:07455164  1995 - 1997

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)  Waseda University

    HORIUCHI Kazuo, KASHIWAGI Masahide, YAMAMURA Kiyotaka, OISHI Shin'ichi, MATSUMOTO Takashi, KAWASE Takehiko

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    Grant amount: \6700000 ( Direct Cost: \6700000 )

    We had the purpose to establish fundamental theories and to constitute the elements of computer aided mathematical analyzing software. We developed our research as we planned as the following :
    (1) We proposed the fixed point theorem for fuzzy map which is obtained by modeling the system with uncertain property.
    (2) We make the theory to prove numerically the existence of solution for nonlinear operator equations.
    (3) Based on C++ and an object oriented language in which rational number arithmetic is implemented, we constituted 3 prototypes of object oriented software which can deal with various objects corresponding to interval analysis, automatic differentiation, function representation and so on.
    (4) By extending the methods to prove numerically the existence of bifurcation point, we developed the theory to cancel singular points. We also applied our theory to various types of bifurcation phenomena and indicated that we can prove the existence of actual bifurcation phenomena.
    (5) We proposed the theory to prove the existence of homoclinic orbits or heteroclinic orbits and prove their existence for actual examples.
    (6) We proposed an algorithm to prove the existence of all solutions in a bounded region for finite dimensional nonlinear equations and proved that this algorithm stops within finite steps under the certain conditions.
    (7) We proposed a method to prove the existence of all solutions with high speed in a bounded region for finite dimensional nonlinear equations with separability, whose example is VLSI circuit. (8) We could change the speed of calculation by the accuracy. Concretely, We proposed the method in which we can obtain the calculated results with super high speed when we demand its low accuracy and in which we can obtain the results with high speed even when we demand its high accuracy.
    (9) We realized the obtained techniques of numerical method with guaranteed accuracy on our prototypes of the software. We applied our software to various nonlinear functional equations and indicated its usefulness.
    (10) We combined the numerical method in the case that we demand its low accuracy and the numerical one in the case that we demand its high accuracy, by which we proposed the numerical method with high speed at our request of accuracy. We realized this method on our software and indicated its usefulness by the example of nonlinear circuit systems.
    (11) We integrated the above organized investigations and remade a prototype of the software for computer aided nonlinear analysis which can correspond to the changes of the problem or the accuracy. We also indicated its usefulness by applying it to nonlinear circuit problems.

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  • 数理計画法を活用した大規模集積回路網のシミュレーション技法に関する研究

    Grant number:08750472  1996    

    日本学術振興会  科学研究費助成事業  奨励研究(A)  群馬大学

    山村 清隆

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    Grant amount: \1100000 ( Direct Cost: \1100000 )

    1.本研究ではまず、線形計画法を用いた区分的線形回路のすべての解を求める非常に効率のよいアルゴリズムを開発した。従来の符号テスト型アルゴリズムでは、超領域に区分的線形方程式f_i(x)=0(i=1,2,・・・,n)の解曲面が存在するか否かを判定していたが、本手法ではそれらの解曲面が交わるかどうかを判定するために、解の存在しない超領域を効率よく除去することができる。また数値実験により、従来型アルゴリズムでは到底解析不可能な線形領域数の極めて大きな問題に対しても、非常に効率よくすべての解を求められることを実証した。
    2.次に、非線形回路の安定解を求める効率的なアルゴリズムを開発した。具体的には、非線形回路の大域的求解法であるホモトピー法に対し、ホモトピー法が安定解に収束するような初期点を見つけるための条件式を導出した。このような条件式を満足する初期点を選ぶことにより、ホモトピー法は安定解に収束するので、非常に効率よく安定解を求めることができる。
    3.回路シミュレーションで多用される修正節点方程式に対し、大域的収束性の保証された新しいホモトピー法のアルゴリズムを開発し、その大域的収束性を証明した。
    4.上記の成果を非線形理論とその応用国際シンポジウムで発表し、大きな反響を得た。またIEEE論文誌、電子情報通信学会論文誌等に投稿し、すべて採録となった。
    5.今後は、線形計画法を用いた区間解析などについて研究を行い、大規模非線形方程式のすべての解を求める強力な方法論として確立する予定である。

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  • 大規模集積回路網のすべての解を求めるアルゴリズムに関する研究

    Grant number:07750453  1995    

    日本学術振興会  科学研究費助成事業  奨励研究(A)  群馬大学

    山村 清隆

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    Grant amount: \1000000 ( Direct Cost: \1000000 )

    1.本研究ではまず、区分的線形回路のすべての解を求める高速アルゴリズムを開発した。すなわち昨年度までに開発した分離性活用アルゴリズムに線形計画法を導入し、解の存在しない領域をより効果的に除去する方法論を確立することにより、アルゴリズムの大幅な高速化を達成する。具体的には方程式のいくつかを制約条件とみなし、その解平面上で他の関数の最大値、最小値を求めることにより、解の存在・非存在を効率的に判定する符号テストを開発した。
    2.次に非線形回路のすべての解を求める高速アルゴリズムを開発した。最近応用数学の分野で区間解析の研究が進んでいるが、区間解析のアルゴリズムはそのままの形では非線形回路には適用できない。そこで回路方程式の分離性活用のアイデアを導入することにより、非線形回路にも適用できる新しい区間解析アルゴリズムを開発した。
    3.さらに、昨年度からの継続研究である「多変数関数を一変数関数の和で表現するアルゴリズム」の詳細なアルゴリズムを完成させた。このアルゴリズムにより、上記のアルゴリズムの適用範囲を大幅に拡大することができる。
    4.また、超球面の概念を用いた新しい解曲線追跡法を開発し、これを安定解の高速探索法として拡張した。この方法は簡易性と実現容易性に優れ、解曲線追跡法の普及版として広く実用に供することができる。
    5.上記1.と4.の成果について非線形理論とその応用国際シンポジウムで招待講演を行い、大きな反響を得た。
    6.今後は、線形計画法を用いた区間解析などについて研究を行い、大規模非線形方程式のすべての解を求める強力な方法論として確立する予定である。

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  • ヒルベルトの第13問題に対する構成アルゴリズムの開発とVLSI設計への応用

    Grant number:06750410  1994    

    日本学術振興会  科学研究費助成事業  奨励研究(A)  群馬大学

    山村 清隆

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    Grant amount: \1100000 ( Direct Cost: \1100000 )

    1.本研究ではまず、多変数関数を一変数関数の和で表現するアルゴリズムを開発した。すなわち、ヒルベルトの第13問題に対するコルモゴロフの存在証明に、具体的な構成アルゴリズムを与えた。そのための基本概念として、関数の構造を記述するグラフである“計算グラフ"を導入した。多変数関数を計算グラフで記述することにより、その計算過程と構造が明らかにすることができる。その各計算過程において、分離形への変換を行い、これを再帰的に繰り返すことにより関数全体を分離形に変換するアルゴリズムを開発した。
    2.VLSIやニューラルネットワークを記述する非線形方程式は、準分離構造をもつため、上記のアルゴリズムにより容易に分離形へ変換できる。このようにして得られる分離性を活用した、回路方程式のすべての解を求める高速アルゴリズムを開発した。このアルゴリズムは、既存の方法の中では最高速であることが確実視される。さらに複雑なトランジスタモデルを含む場合や、電圧制御型でも電流制御型でもないマクロモデル素子を含む場合での拡張を行った。
    3.次に超球面の概念を用いた新しい解曲線追跡法を開発し、これを複数個の解の高速探索法として拡張した。この方法は簡易製と実現容易性に優れ、解曲線追跡法の普及版として広く実用に供することができる。またこの方法の計算効率を高める手法を、幾何学的観点に基づき開発した。
    さらに、回路シミュレーションにおける最大のネックである直流解析の非収束問題を解決する手法を、1.の研究に基づき開発した。またその大域的収束性と2次収束性を証明した。

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  • STUDY ON MODELLING OF NONLINEAR SYSTEM AND SELF-VALIDATING MUMERICAL METHOD

    Grant number:04452187  1992 - 1994

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for General Scientific Research (B)  Waseda University

    HORIUCHI Kazuo, KASHIWAGI Masahide, YAMAMURA Kiyotaka, OISHI Shin'ichi, MATSUMOTO Takashi, KAWASE Takehiko

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    Grant amount: \6800000 ( Direct Cost: \6800000 )

    Recently, the study of nonlinear systems and nonlinear technologes has made a great advance. For example, the studies of optical fiber soliton communications, neural networks, fuzzy systems, analogue VLSI and so on have achieved much interests. Since such systems essentially use nonlinearity , new modelling techniques and reliable simulation techniques are required. Moreover, in the field of computer assisted design of nonlinear systems, it is very important to guarantee the accuracy of the result of calculation. For example, in the VLSI design, if we can validate the accuracy of modeling and numerical simulation, it enables to reduce the cost and period of design.
    In this study, taking the accuracy of modeling into consideration, and guarantteng the accuracy of numerical simulation of the modeling, we have develpoed a numerical validation method through the total simulation process of nonlinear system.
    In this year, we have improved the theory, algorithm and system developed until last year, and have made them more practical.
    1.Effectiveness of our fuzzy modeling theory is confirmed by numerical simulation.
    2.Automatic numerical validation method for general ordinary differential equations is developed. It provides a rigorous method for transient analysis.
    3.Extending the technique used in all solution method for nonlinear equations, we have developed a inclusion method for solution sets of set-valued functions. It gives a more rigorous system analysing method together with modeling method with guaranteed accuracy .

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  • VLSI設計における全解探索アルゴリズムの開発に関する研究

    Grant number:05750377  1993    

    日本学術振興会  科学研究費助成事業  奨励研究(A)  群馬大学

    山村 清隆

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    Grant amount: \900000 ( Direct Cost: \900000 )

    1.まえがき
    VLSIの設計では、回路網を記述する非線形方程式をコンピュータで解くことが行なわれる。回路方程式は一般に複数の解をもち、それらすべての解を設計段階で検証することが要求されるが、実用的な全解探索アルゴリズムはまだ開発されていない。
    本研究は、VLSIを記述する非線形方程式のすべての解を求める、高速で実用的なアルゴリズムを開発することを目的として行なわれたものである。
    2.研究成果
    本研究は当初の計画通り順調に行なわれ、その成果のほとんどは学会論文誌、国際会議等で発表されている。研究成果の概要は次の通りである。
    1)VLSIを記述する非線形方程式は、セパラビリティと呼ばれる特殊な構造的性質をもつ。本研究ではまず、この性質を活用した非線形回路方程式のすべての解を求める高速アルゴリズムを開発した。本手法は既存のどの方法よりも遥かに高速であることが確認された。
    (2)次に“超球面"の概念を用いた新しい解曲線追跡法を開発し、これを複数個の解の高速探索法として拡張した。この方法は“実現容易性"に優れ、広く実用に供することができる。
    (3)アルゴリズムの適用範囲をMOS系VLSIに拡張するため、セパラブルでない非線形関数をセパラブルな関数に変形させるアルゴリズムを開発した。この研究は、有名なヒルベルトの第13問題に対するコルモゴロフの存在証明に、具体的な構成アルゴリズムを与える形となり、学会からの注目度は非常に高かった。
    補助金は補助金の補助条件に従って大体当初の予定通り使用された。また補助金により購入した設備品(コンピュータ端末)は数値実験などにおいて十分に活用された。

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  • Studies on Modeling and Performance Analysis of Nonlinear Dynamic Systems

    Grant number:63460127  1988 - 1990

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for General Scientific Research (B)  Waseda University

    HORIUCHI Kazuo, YAMAMURA Kiyotaka, OISHI Shin'ichi, MATSUMOTO Takashi, KAWASE Takehiko

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    Grant amount: \6100000 ( Direct Cost: \6100000 )

    This scientific research has been done during the period from May, 1988 to March 1981. The purpose of the research is to do systematic research on modeling and performance analysis of nonliear dynamic systems. The following are main results obtained by the research :
    1. Analysis of Fluctuation of Nonlinear Dynamic Systems and Studies on Infinite Dimensional Homotopy Method
    A number of properties have been clarified on response of fluctuations to nonlinear systems by developing a theory of non-deterministic operators. Moreover, an infinite dimensional homotopy method has been established for numerically analyzing nonlinear systems including infinite dimensional systems.
    2. Local and Global Bifurcation Phenomena of Nonlinear Circuits
    A number of properties have been clarified on the global bifurcation phenomena in nonlinear circuits analysis. Moreover, a number of interesting bifurcation phenomena have been observed by computer simulations and circuit experiments.
    3. Numerical Method of Nonlinear Dynamic Systems
    An efficient algorithm has been developed for caluculating solutions of nonlinear circuits, nonlinear programming, channels, and all solutions of a certain class of nonlinear equations.
    4. Modelig of Dynamical Systems and Its Application
    By using concept of the bond graph an automatic modeling method is presented for a class of dynamical systems. Based on this, an efficient modeling and a numerical integral method have been established for analyzing flexible multibody dynamics.

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  • Study on Structures and Dynamics of Nonlinear Systems

    Grant number:59460111  1984 - 1986

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for General Scientific Research (B)  Waseda University

    HORIUCHI Kazuo, YAMAMURA Kiyotaka, OISHI Shin'ichi, MATSUMOTO Takashi, KAWASE Takehiko

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    Grant amount: \5400000 ( Direct Cost: \5400000 )

    With the rapid advance of VLSI and the discovery of new nonlinear phenomena such as soliton and chaos, analysis of nonlinear dynamic systems becomes very important. The purpose of this project is to clarify the fundamental properties of both the nonlinear system structure and its dynamics, and to buid the foundation of their applications to the practical problems, by means of the new mathematical methods which the present researchers have developed.
    This project has been accomplished over three years, and its fruitful result is establishment and mutual recomposition of the following theories :
    1. Theory on evaluation of the overall dependence on internal structures and parameters of nonlinear systems, by making use of the original theory of nondeterministic operators.
    2. Theory on numerical analysis of nonlinear systems by the original methods based on homotopy or decomposition.
    3. New approach for the analysis of nonlinear phenomena such as soliton and chaos. Furthermore, using the above theories, we threw light on the followings :
    4. Observation of a non-periodic attractor from an extremely simple circuit, and the rigorous proof of the attractor to be chaotic.
    5. Modelling of parallel blower and multibody systems and analysis of their dynamics.
    6. Analysis of the models of optical transmission and biological systems.

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  • 回路シミュレーション

    1985 -  

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    Grant type:Competitive

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  • 非線形システム

    1985 -  

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    Grant type:Competitive

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  • 数値解析

    1985 -  

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    Grant type:Competitive

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  • 情報数理工学

    1985 -  

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    Grant type:Competitive

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Committee Memberships

  • 2009 -  

    電子情報通信学会   非線形問題研究専門委員会 委員長