Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:18PM2-E
Session:
Number:18PM2-E-1
Accurate Matrix Multiplication with Multiple Floating-point Numbers
Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump, Shin’ichi Oishi,
pp.337-340
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.18PM2-E-1
Summary:
This paper is concerned with an accurate computation of matrix multiplication, where components of matrices are represented by summation of floating-point numbers. Recently, an accurate summation algorithm is developed by the latter three of the authors. In this paper, it is specialized to dot product. Using this, a fast implementation of accurate matrix multiplication is discussed. Finally, some numerical results are presented to confirm the e?ectiveness of the proposed algorithm.