An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations

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Abstract

An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations was proposed. The precision guarantee technique requiring numerical computations consisted of simultaneous numerical computations and error evaluation. The effectiveness of the proposed algorithm was shown using specific numerical examples.

Original languageEnglish
Pages (from-to)39-44
Number of pages6
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume85
Issue number4
DOIs
Publication statusPublished - 2002 Feb 26

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Keywords

  • Interval analysis
  • Interval iteration
  • Parameter-dependent nonlinear equations
  • Precision guarantee-imposed numerical computations

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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