1995 Fiscal Year Final Research Report Summary
Development of Algorithm for Eigenvalue Analysis of Very Large Matrices
| Project/Area Number |
05555026
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| Research Category |
Grant-in-Aid for Developmental Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Engineering fundamentals
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| Research Institution | HOKKAIDO UNIVERSITY |
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Principal Investigator |
NAKAYAMA Tsuneyoshi Hokkaido Univ., Fac. of Eng., Pro., 工学部, 教授 (80002236)
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| Co-Investigator(Kenkyū-buntansha) |
KAKUMA Seiichi Hokkaido Univ., Fac. of Eng., Instructor, 工学部, 助手 (90204338)
MIZUNO Seiji Hokkaido Univ., Fac. of Eng., Lecturer, 工学部, 講師 (90222322)
TAKANO Motohiro CSK Limited, AI UNIX Laboratory, Researcher, 研究員
YAKUBO Kousuke Hokkaido Univ., Fac. of Eng., Asso. Pro., 工学部, 助教授 (40200480)
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| Project Period (FY) |
1993 – 1995
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| Keywords | Eigenvalue / Large Matrix / Algorithm |
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| Research Abstract |
This research project aims to develope the powerful algorithm suitable for very large matrices of the order of 10^7. The method is based on the mapping of the eigenvalue problem to lattice dynamics. The method is unique, compared with the other well known methods like the Lanezos method. Namely, the time-consuming part is mainly used for solving the time-development equation of motion. The efficiency was demonstrated by applying fractal systems and the mode analysis of sophistcated waveguides.
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