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

研究成果: Article

3 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)45-53
ページ数9
ジャーナルElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
86
発行部数5
DOI
出版物ステータスPublished - 2003 5 1

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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