Presentation 1995/10/19
An Aproach to Trace Solution Curve of Nonlinear Systems of Equations
Yuchi KANZAWA, Masahide KASHIWAGI, Shinichi OISHI,
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Abstract(in English) Let us consider tracing solution curve of nonlinear system of equations. If the solution curve has some singular points, it is very difficult to trace the solution curve. In this report, it is assumed that the solution curve has no singular points. Former method of solution curve tracing, called "Continuation Method", sometimes failes. But the method make us know the failure. In this report, we propose a new algorithm of solution curve tracing never to fail. As a concrete method, we use Krawczyk's method to guarantee the region having the unique solution curve. Krawczyk's method is a convergence theorem on Newton approximation method by interval arithmetic.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Solution Curve Tracing / Krawczyk's Method
Paper # NLP95-52
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Committee NLP
Conference Date 1995/10/19(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Aproach to Trace Solution Curve of Nonlinear Systems of Equations
Sub Title (in English)
Keyword(1) Solution Curve Tracing
Keyword(2) Krawczyk's Method
1st Author's Name Yuchi KANZAWA
1st Author's Affiliation School of Science and Engineering, Waseda University()
2nd Author's Name Masahide KASHIWAGI
2nd Author's Affiliation School of Engineering, Kyushu University
3rd Author's Name Shinichi OISHI
3rd Author's Affiliation School of Science and Engineering, Waseda University
Date 1995/10/19
Paper # NLP95-52
Volume (vol) vol.95
Number (no) 296
Page pp.pp.-
#Pages 6
Date of Issue