Algorithm for finding all solutions of parameter-dependent nonlinear equations with guaranteed accuracy

Yuchi Kanzawa, Masahide Kashiwagi, Shin'ichi Oishi

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper proposes an algorithm which can derive all solutions with guaranteed accuracy for equations including a nonlinear function, with the dimension of the domain larger than the dimension of the range. It is mathematically shown that the proposed algorithm is completed in a finite number of steps under an appropriate condition. The effectiveness of the proposed algorithm is demonstrated by numerical examples.

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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