2003 Fiscal Year Final Research Report Summary
New Numerical Method for Analysis of Large Matrices
| Project/Area Number |
13450038
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Hokkaido University |
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Principal Investigator |
NAKAYA Tsuneyoshi Hokkaido Univ., Grad. School. of Eng., Prof., 大学院・工学研究科, 教授 (80002236)
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| Co-Investigator(Kenkyū-buntansha) |
SHIMA Hiroyuki Hokkaido Univ., Grad. School. of Eng., Inst., 大学院・工学研究科, 助手 (40312392)
YAKUBO Kousuke Hokkaido Univ., Grad. School. of Eng., Asso. Prof., 大学院・工学研究科, 助教授 (40200480)
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| Project Period (FY) |
2001 – 2003
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| Keywords | Numerical Algorithm / Forced oscillator method / Eigenvalue Analysis / Very large matrices / Correlation function |
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| Research Abstract |
The aim of this research project is to develop the efficient algorithm for the eigenvalue analysis of very large matrices of [10^6×10^6], and computing dynamic correlation functions of the systems described by those matrices. In addition, we try to extend this numerical to apply for method non-Hermitian large-scale matrices. In these term, we have succeeded to develop the algorithm to use any type of large-scale matrices. We have also applied this algorithm to actual physical systems and demonstrated its surprising efficiency.
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Research Products
(21 results)
