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

Yuchi Kanzawa, Masahide Kashiwagi, Shin'ichi Oishi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)33-39
Number of pages7
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Issue number10
Publication statusPublished - 1999 Oct 1
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this