Research on GBi-CGSTAB, a new solver for large scale linear systems
| Project/Area Number |
22560060
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | The University of Tokyo |
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Principal Investigator |
SUGIHARA Masaaki 東京大学, 大学院・情報理工学系研究科, 教授 (80154483)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 線形方程式系の数値解法 / クリロフ部分空間法 / BiCG 法 / IDR(s)法 / 偽収束 / シ フト方程式 / Lanczos 法 / ＢｉＣＧ法 / 双直交 / シフト方程式 / 共役勾配法 |
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| Research Abstract |
The following results have been obtained on GBi-CGSTAB, a new solver for large scale linear systems: GBi-CGSTAB equipped with auto-correction of residuals to avoid spurious convergence, a new findings ‘the difference between the residual and the true residual remains constant from the early stage on the iteration’, comparison between GBi-CGSTAB and IDRSTAB, GBi-CGSTAB for shifted linear systems, concise derivation of GBi-CGSTAB， BiO-ML(s)BiCG: a new solver related to GBi-CGSTAB.
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Report
(4 results)
Research Products
(10 results)
