| Presentation | 2013-04-25 Generation of ill-conditioned matrices of order n Tetsuo NISHI, Siegfried M. RUMP, Shin'ichi OISHI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We study about the generation of n×n real matrices with extremely large condition number. There is a large gap between the attainable lower bound and the theoretical upper bound derived by Guggenheimer, et al. This paper examines the generation of integer matrices with larger condition number than those obtained in the previous generation methods. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | extremely ill-conditioned integer matrix / upper bound of condition number / Hadamard matrix / Hadamard's inequality |
| Paper # | NLP2013-8 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2013/4/18(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Generation of ill-conditioned matrices of order n |
| Sub Title (in English) | |
| Keyword(1) | extremely ill-conditioned integer matrix |
| Keyword(2) | upper bound of condition number |
| Keyword(3) | Hadamard matrix |
| Keyword(4) | Hadamard's inequality |
| 1st Author's Name | Tetsuo NISHI |
| 1st Author's Affiliation | School of Science and Engineering, Waseda University() |
| 2nd Author's Name | Siegfried M. RUMP |
| 2nd Author's Affiliation | Hamburg University of Technology |
| 3rd Author's Name | Shin'ichi OISHI |
| 3rd Author's Affiliation | School of Science and Engineering, Waseda University |
| Date | 2013-04-25 |
| Paper # | NLP2013-8 |
| Volume (vol) | vol.113 |
| Number (no) | 15 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |