Matrix multiplication with guaranteed accuracy by level 3 BLAS

Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi

研究成果: Conference contribution

抜粋

This paper is concerned with an accurate computing for matrix multiplication. We show that matrix multiplication can be transformed into a summation of floating-point matrices by mainly using level 3 operations in BLAS. We call it 'errorfree transformation of matrix multiplication'. By combining this error-free transformation and accurate summation algorithms for floating-point numbers, we can obtain an accurate result of matrix multiplication. Numerical examples are presented to illustrate the efficiency of the proposed algorithm.

元の言語English
ホスト出版物のタイトルInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
ページ1128-1133
ページ数6
DOI
出版物ステータスPublished - 2012 12 1
外部発表Yes
イベントInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009 - Rhodes, Greece
継続期間: 2009 9 292009 10 4

出版物シリーズ

名前AIP Conference Proceedings
1504
ISSN(印刷物)0094-243X
ISSN(電子版)1551-7616

Conference

ConferenceInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
Greece
Rhodes
期間09/9/2909/10/4

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • これを引用

    Ozaki, K., Ogita, T., & Oishi, S. (2012). Matrix multiplication with guaranteed accuracy by level 3 BLAS. : International Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009 (pp. 1128-1133). (AIP Conference Proceedings; 巻数 1504). https://doi.org/10.1063/1.4772125