Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:C2L-C
Session:
Number:C2L-C3
Accurate Matrix Multiplication by using Level 3 BLAS Operation
Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump, Shin’ichi Oishi,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
DOI:10.34385/proc.42.C2L-C3
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Summary:
This paper is concerned with an accurate computation of matrix multiplication. Recently, an accurate summation algorithm was developed by Rump, Ogita and Oishi. One of the key techniques of their method is a new type of error-free splitting. To use this strategy, we investigate a method of obtaining an accurate result of matrix multiplication by mainly using Level 3 BLAS operation. Finally, we present numerical examples showing the effectiveness of the proposal algorithm.