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

Yuchi Kanzawa, Masahide Kashiwagi, Shin'ichi Oishi

研究成果: Article

抄録

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.

元の言語English
ページ(範囲)39-44
ページ数6
ジャーナルElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
85
発行部数4
DOI
出版物ステータスPublished - 2002

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Nonlinear equations
Refining

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

これを引用

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title = "An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations",
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.",
keywords = "Interval analysis, Interval iteration, Parameter-dependent nonlinear equations, Precision guarantee-imposed numerical computations",
author = "Yuchi Kanzawa and Masahide Kashiwagi and Shin'ichi Oishi",
year = "2002",
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journal = "Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)",
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AU - Kanzawa, Yuchi

AU - Kashiwagi, Masahide

AU - Oishi, Shin'ichi

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Interval analysis

KW - Interval iteration

KW - Parameter-dependent nonlinear equations

KW - Precision guarantee-imposed numerical computations

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JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)

JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)

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