Accurate and High Performance Computational Methods for Numerical Linear Algebra
| Project/Area Number |
25730076
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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 | Shibaura Institute of Technology |
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Principal Investigator |
Ozaki Katsuhisa 芝浦工業大学, システム理工学部, 准教授 (90434282)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 誤差解析 / ハイパフォーマンスコンピューティング / 数値解析 / 丸め誤差解析 / 高性能計算 / 精度保証付き数値計算 / 浮動小数点演算 / 線形計算 / 事前誤差解析 |
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| Outline of Final Research Achievements |
Floating-point arithmetic is widely used for scientific computing. Because information of binary floating-point numbers is finite, rounding error may occur. If rounding errors accumulate, then an inaccurate result may be obtained. If a problem is large scale, then the problem of rounding errors will be more serious. We proposed accurate and high performance computational methods for numerical linear algebra, especially, matrix multiplication, LU decomposition, and Cholesky decomposition.
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Report
(5 results)
Research Products
(9 results)
