2010 Fiscal Year Final Research Report
Research for new algorithms by integrable system approach
| Project/Area Number |
20740064
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyoto Prefectural University |
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Principal Investigator |
IWASAKI Masashi Kyoto Prefectural University, 生命環境科学研究科, 准教授 (30397575)
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| Co-Investigator(Renkei-kenkyūsha) |
KONDO Koichi 同志社大学, 理工学部, 准教授 (30314397)
ISHIWATA Emiko 東京理科大学, 理学部, 教授 (30287958)
YAMAMOTO Yusaku 神戸大学, 工学研究科, 教授 (20362288)
NAKAMURA Yoshimasa 京都大学, 情報学研究科, 教授 (50172458)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 応用数学 / 可積分系 / 行列の対角化 |
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| Research Abstract |
We design new three kinds of algorithms based on the studies of integrable systems. One of our proposal algorithms is matrix eigenvalues algorithm for band matrices. The second is matrix diagonalization algorithm for general matrices. The third is matrix eigenvalues algorithm in Max-Plus algebra. We also clarify some numerical properties of our proposal algorithms and existing algorithms.
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