| Presentation | 2015-07-21 Mathematical structures of continuous functions on convex set (1) Hideo Kanemitsu, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this report, we show a optimization problem and a zeros search problem of equations with continuous univariate functions whose local minima is finite on interval, and show mathematical structures of both problems. Next, we investigate mathematical structures for both problems. At last, for continuous functions on interval, we show an algorithm for finding all local minima and local maxima and an algorithm for finding all zeros with having theoretical guarantee for finding all solutions. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | mathematical structure / multimodal function / local minimum / real root / optimization / nonlinear |
| Paper # | NLP2015-69 |
| Date of Issue | 2015-07-14 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2015/7/21(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Bibai Onsen Yu-rinkan |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Problems, etc. |
| Chair | Kenya Jinno(Nippon Inst. of Tech.) |
| Vice Chair | Naoto Fujisaka(Hiroshima City Univ.) |
| Secretary | Naoto Fujisaka(Tokyo Univ. of Science) |
| Assistant | Hidehiro Nakano(Tokyo City Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Mathematical structures of continuous functions on convex set (1) |
| Sub Title (in English) | Mathematical structure of univariate continuous functions on interval with finite number of local mimima, and its applications to finding all local minima(maxima) and all real roots |
| Keyword(1) | mathematical structure |
| Keyword(2) | multimodal function |
| Keyword(3) | local minimum |
| Keyword(4) | real root |
| Keyword(5) | optimization |
| Keyword(6) | nonlinear |
| 1st Author's Name | Hideo Kanemitsu |
| 1st Author's Affiliation | Hokkaido University of Education(Hokkaido Univ. Edu.) |
| Date | 2015-07-21 |
| Paper # | NLP2015-69 |
| Volume (vol) | vol.115 |
| Number (no) | NLP-150 |
| Page | pp.pp.11-16(NLP), |
| #Pages | 6 |
| Date of Issue | 2015-07-14 (NLP) |