Research on quadruple precision operation usable for scientific computation
| Project/Area Number |
21500031
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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 |
Software
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| Research Institution | The University of Tokyo |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 4倍長精度演算 / 数学定数 / 平方根 / 数値計算アルゴリズム / 誤差解析 / 祖結合並列計算 / 将棋プレーヤー / 集団学習 / 評価関数 / 並列化 / Bagging / 乱数合議 / アルゴリズム / 4倍長精度計算 / 素数 / double-double精度 / Brun定数 / Twin prime / gcc |
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| Research Abstract |
Application of quadruple precision numerical routines which was developed, evaluated and optimized through this research, we had computed Brun's constant up to 9-th digit following decimal point. Newly found number is not know until the completion of the Brun's number. Papers on this topic were prepared and submitted for the publication. Here, Brun's constant is the constant computed by the sum of(1/p+1/(p+2)) where p(>=2) and p+2 is prime numbers.
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Report
(4 results)
Research Products
(10 results)
