| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
In this study, numerical algorithms for eigenvalue problems have been designed from the viewpoint of applying matrix factorization approach and projection techniques in matrix calculations. Specifically, a new fast iterative improvement method is proposed as a result of joint research with Prof. Ogita of Tokyo Woman's Christian University. In addition, fast, accurate, and robust numerical algorithms for important mathematical problems in many application areas have been provided, where they can be regarded as variants of the eigenvalue problem.
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