Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm

Yusuke Nakaya; Shin'ichi Oishi; Masahide Kashiwagi; Yuchi Kanzawa

doi:10.1002/ecjc.10023

Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm

Yusuke Nakaya^*, Shin'ichi Oishi, Masahide Kashiwagi, Yuchi Kanzawa

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, the objective is to derive with guaranteed accuracy all solutions of a finite-dimensional nonlinear equation within a certain range. In order to derive all solutions, it is important to extract efficiently the regions in which no solution exists. A new method is proposed in which nonexistence of solutions in a given region is judged with guaranteed accuracy. By solving specific numerical examples, the effectiveness of the proposed method is verified.

Original language	English
Pages (from-to)	45-53
Number of pages	9
Journal	Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume	86
Issue number	5
DOIs	https://doi.org/10.1002/ecjc.10023
Publication status	Published - 2003 May

Keywords

All solution search
Nonexistence of solutions
Nonlinear equation
Numerical calculation with guaranteed accuracy

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1002/ecjc.10023

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Nakaya, Y., Oishi, S., Kashiwagi, M., & Kanzawa, Y. (2003). Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm. Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), 86(5), 45-53. https://doi.org/10.1002/ecjc.10023

Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm. / Nakaya, Yusuke; Oishi, Shin'ichi; Kashiwagi, Masahide et al.
In: Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), Vol. 86, No. 5, 05.2003, p. 45-53.

Research output: Contribution to journal › Article › peer-review

Nakaya, Y, Oishi, S, Kashiwagi, M & Kanzawa, Y 2003, 'Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm', Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), vol. 86, no. 5, pp. 45-53. https://doi.org/10.1002/ecjc.10023

Nakaya, Yusuke ; Oishi, Shin'ichi ; Kashiwagi, Masahide et al. / Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm. In: Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi). 2003 ; Vol. 86, No. 5. pp. 45-53.

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Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm

Abstract

Keywords

ASJC Scopus subject areas

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