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J-GLOBAL ID:201702224451428320   Reference number:17A0418297

大規模並列計算機における連立一次方程式の精度保証付き数値計算に対する性能評価

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Volume: 2016  Issue: HPC-157  Page: Vol.2016-HPC-157,No.1,1-7 (WEB ONLY)  Publication year: Dec. 14, 2016 
JST Material Number: U0451A  Document type: Proceedings
Article type: 原著論文  Country of issue: Japan (JPN)  Language: JAPANESE (JA)
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Numerical computation 
Reference (18):
  • ANSI/IEEE 754-2008: IEEE Standard for FloatingPoint Arithmetic, IEEE, New York, 2008.
  • 大石 進一,現代非線形科学シリーズ6 精度保証付き数値計算(コロナ社,2001年)
  • S. Oishi and S.M. Rump, Fast verification of solutions of matrix equations, Numer. Math., 90(4):755-773, 2002.
  • Atsushi Minamihata, Kouta Sekine, Takeshi Ogita, Siegfried M. Rump and Shin’ichi Oishi, Improved error bounds for linear systems with H-matrices, Nonlinear Theory and Its Applications, IEICE, Vol. 6, No. 3 pp. 377-382, 2015.
  • 太田 貴久,荻田 武史,S. M. Rump,大石 進一,悪条件連立一次方程式の精度保証付き数値計算法,日本応用数理学会論文誌,15:3,269-287,2005.
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