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2012 Fiscal Year Final Research Report

Study of practical globally-convergent algorithms for solving large-scale nonlinear systems

Research Project

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Project/Area Number 20560369
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Communication/Network engineering
Research InstitutionChuo University

Principal Investigator

YAMAMURA Kiyotaka  中央大学, 理工学部, 教授 (30182603)

Project Period (FY) 2008 – 2012
Keywords非線形理論 / 回路 / 非線形数値解析 / 大規模集積回路 / 回路シミュレーション / 数理計画法
Research Abstract

In this project, we developed efficient and practical globally-convergent algorithms for solving large-scale nonlinear systems including large-scale integrated circuits. We first proposed an efficient homotopy method for solving nonlinear circuits, and

  • Research Products

    (13 results)

All 2013 2012 2011 2009 2008

All Journal Article (7 results) (of which Peer Reviewed: 7 results) Presentation (6 results)

  • [Journal Article] Formulating hybrid equations and state equations for nonlinear circuits using SPICE2013

    • Author(s)
      K. Yamamura and M. Tonokura
    • Journal Title

      International Journal of Circuit Theory and Applications

      Volume: vol.41, no.1 Pages: 101-110

    • Peer Reviewed
  • [Journal Article] Finding all solutions of separable systems of piecewise-linear equations using integer programming2012

    • Author(s)
      K. Yamamura and N. Tamura
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: vol.236, issue 11 Pages: 2844- 2852

    • Peer Reviewed
  • [Journal Article] Quadratic convergence of the shooting method using implicit integration formulas and Newton's method2011

    • Author(s)
      K. Yamamura
    • Journal Title

      International Journal of Numerical Methods and Applications

      Volume: vol.6,Issue 1 Pages: 87-104

    • Peer Reviewed
  • [Journal Article] LP narrowing: A new strategy for finding all solutions of nonlinear equations2009

    • Author(s)
      K. Yamamura, K. Suda, and N. Tamura
    • Journal Title

      Applied Mathematics and Computation

      Volume: vol.215, issue 1 Pages: 405-413

    • Peer Reviewed
  • [Journal Article] An efficient and practical algorithm for finding all DC solutions of nonlinear circuits using GLPK2009

    • Author(s)
      K. Yamamura and K. Suda
    • Journal Title

      IEICE Trans. Fundamentals of Electronics, Communications and Computer Sciences

      Volume: vol.E92-A, no.2 Pages: 638-642

    • Peer Reviewed
  • [Journal Article] DC tolerance analysis of nonlinear circuits using set-valued functions2008

    • Author(s)
      K. Yamamura and Y. Haga
    • Journal Title

      Journal of Circuits, Systems, andComputers

      Volume: vol.17, no.5 Pages: 785-796

    • Peer Reviewed
  • [Journal Article] An efficient algorithm for finding all DC solutions of piecewise-linear circuits2008

    • Author(s)
      K. Yamamura and A. Machida
    • Journal Title

      International Journal of Circuit Theory and Applications

      Volume: vol.36, no.8 Pages: 989-1000

    • Peer Reviewed
  • [Presentation] Finding all solutions of piecewiselinear resistive circuits using separable programming2012

    • Author(s)
      H. Tanaka, H. Kato, and K. Yamamura
    • Organizer
      Proceedings of 2012 IEEE Workshop on Nonlinear Circuit Networks
    • Place of Presentation
      Tokushima, Japan
    • Year and Date
      2012-12-15
  • [Presentation] DC operating point analysis oftransistor circuits using the variable-gain homotopy method2012

    • Author(s)
      K. Yamamura and T. Miyamoto
    • Organizer
      Proceedings of InternationalTechnical Conference on Circuits/Systems, Computers and Communications
    • Year and Date
      2012-07-17
  • [Presentation] Finding all solutions of piecewiselinear resistive circuits usinginteger programming2011

    • Author(s)
      K. Yamamura and T. Ueda
    • Organizer
      Proceedings of 20th IEEE European Conference on Circuit Theory and Design
    • Place of Presentation
      Linkoping, Sweden
    • Year and Date
      2011-08-30
  • [Presentation] Finding all DC solutions ofpiecewise-linear circuits usinginteger programming2009

    • Author(s)
      K. Yamamura, N. Tamura, and T. Ueda
    • Organizer
      Proceedings of 2009 IEEE Workshop on Nonlinear Circuit Networks
    • Place of Presentation
      Tokushima, Japan
    • Year and Date
      2009-12-11
  • [Presentation] An efficient algorithm for finding all DC solutions of nonlinear circuits using LP narrowing2009

    • Author(s)
      K. Yamamura, N. Tamura, and K. Suda
    • Organizer
      Proceedings of 2009 IEEE International Symposium on Circuits and Systems
    • Place of Presentation
      Taipei, Taiwan
    • Year and Date
      2009-05-26
  • [Presentation] LP narrowing: A new strategy for finding all solutions of nonlinear equations2008

    • Author(s)
      K. Yamamura, N. Tamura, and K. Suda
    • Organizer
      Book of Abstracts, 13th GAMM -- IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics
    • Year and Date
      2008-09-30

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Published: 2014-08-29  

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