| Presentation | 1996/7/27 Finding All Solutions of Nonlinear Systems of Equations Using Linear Programming with Guaranteed Accuracy Yusuke NAKAYA, Shin'ichi OISHI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A new numerical method is presented for finding all solutions of nonlinear systems of equations with guaranteed accuracy. In this method, Krawczyk's method is used to find regions in which solutions exist. Moreover a new effective method using linear programming is proposed to delete regions in which solutions don't exsist. Moreover a result is presented of finding all solutions of the"high polymer liquid" system, which is the famous ill-conditioned nonlinear equation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Nonlinear Equations / All Solutions / Guaranteed Accuracy / Krawczyk's Method / Linear Programming |
| Paper # | NLP-96-57 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1996/7/27(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Vice Chair | |
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| Paper Information | |
| 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) | Finding All Solutions of Nonlinear Systems of Equations Using Linear Programming with Guaranteed Accuracy |
| Sub Title (in English) | |
| Keyword(1) | Nonlinear Equations |
| Keyword(2) | All Solutions |
| Keyword(3) | Guaranteed Accuracy |
| Keyword(4) | Krawczyk's Method |
| Keyword(5) | Linear Programming |
| 1st Author's Name | Yusuke NAKAYA |
| 1st Author's Affiliation | School of Science and Engineering, Waseda University() |
| 2nd Author's Name | Shin'ichi OISHI |
| 2nd Author's Affiliation | School of Science and Engineering, Waseda University |
| Date | 1996/7/27 |
| Paper # | NLP-96-57 |
| Volume (vol) | vol.96 |
| Number (no) | 208 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |