An interval algorithm for finding all solutions of nonlinear resistive circuits

Kiyotaka Yamamura, Naoya Igarashi, Yasuaki Inoue

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    An efficient algorithm is proposed for finding all solutions of nonlinear (not piecewise-linear) resistive circuits with mathematical certainty. This algorithm is based on interval analysis, the dual simplex method, and the contraction method. By numerical examples, it is shown that the proposed algorithm could find all solutions of systems of 500 ∼ 700 nonlinear circuit equations in acceptable computation time.

    Original languageEnglish
    Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
    Volume3
    Publication statusPublished - 2003
    EventProceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand
    Duration: 2003 May 252003 May 28

    Other

    OtherProceedings of the 2003 IEEE International Symposium on Circuits and Systems
    CountryThailand
    CityBangkok
    Period03/5/2503/5/28

    Fingerprint

    Networks (circuits)

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Electrical and Electronic Engineering

    Cite this

    Yamamura, K., Igarashi, N., & Inoue, Y. (2003). An interval algorithm for finding all solutions of nonlinear resistive circuits. In Proceedings - IEEE International Symposium on Circuits and Systems (Vol. 3)

    An interval algorithm for finding all solutions of nonlinear resistive circuits. / Yamamura, Kiyotaka; Igarashi, Naoya; Inoue, Yasuaki.

    Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 3 2003.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Yamamura, K, Igarashi, N & Inoue, Y 2003, An interval algorithm for finding all solutions of nonlinear resistive circuits. in Proceedings - IEEE International Symposium on Circuits and Systems. vol. 3, Proceedings of the 2003 IEEE International Symposium on Circuits and Systems, Bangkok, Thailand, 03/5/25.
    Yamamura K, Igarashi N, Inoue Y. An interval algorithm for finding all solutions of nonlinear resistive circuits. In Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 3. 2003
    Yamamura, Kiyotaka ; Igarashi, Naoya ; Inoue, Yasuaki. / An interval algorithm for finding all solutions of nonlinear resistive circuits. Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 3 2003.
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