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 Japanese) | (See Japanese page) |
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 |
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Conference Date | 1995/10/19(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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Registration To | Nonlinear Problems (NLP) |
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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 |
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