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.