| Project/Area Number |
15K15996
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
High performance computing
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| Research Institution | University of Tsukuba |
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Principal Investigator |
Tadano Hiroto 筑波大学, 計算科学研究センター, 助教 (50507845)
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| Project Period (FY) |
2015-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 連立一次方程式 / 複数シフト・複数右辺ベクトル / シフトブロッククリロフ部分空間法 |
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| Outline of Final Research Achievements |
In this project, we studied high accurate and high performance numerical methods for solving linear systems with multiple right-hand sides and multiple shifts. We extended Block Krylov subspace methods to Shifted Block Krylov subspace methods, and evaluated the performance of the developed methods. Through the numerical experiments, we found that the accuracy of the approximate solutions generated by the naive extension of Block Krylov subspace methods may degrade. In this project, we developed Shifted Block subspace methods which can generate high accurate approximate solutions.
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