Finding all solutions of nonlinear equations using inverses of approximate Jacobian matrices

Kiyotaka Yamamura, Takayoshi Kumakura, Yasuaki Inoue

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Recently, an efficient algorithm has been proposed for finding all solutions of systems of nonlinear equations using inverses of approximate Jacobian matrices. In this letter, an effective technique is proposed for improving the computational efficiency of the algorithm with a little bit of computational effort.

Original languageEnglish
Pages (from-to)2950-2952
Number of pages3
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE84-A
Issue number11
Publication statusPublished - 2001 Nov
Externally publishedYes

Fingerprint

Jacobian matrices
System of Nonlinear Equations
Jacobian matrix
Nonlinear equations
Computational Efficiency
Nonlinear Equations
Efficient Algorithms
Computational efficiency

Keywords

  • Finding all solutions
  • Interval analysis
  • Nonlinear equations
  • Numerical computation with guaranteed accuracy

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Hardware and Architecture
  • Information Systems

Cite this

Finding all solutions of nonlinear equations using inverses of approximate Jacobian matrices. / Yamamura, Kiyotaka; Kumakura, Takayoshi; Inoue, Yasuaki.

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E84-A, No. 11, 11.2001, p. 2950-2952.

Research output: Contribution to journalArticle

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