Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:A2L-A
Session:
Number:A2L-A2
Accurate matrix multiplication: Improvement of error-free splitting
Katsuhisa Ozaki, Takeshi Ogita, Shin’ichi Oishi,
pp.85-85
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
Recently, algorithms for accurate matrix multiplication have been developed by the authors. A main characteristic of the algorithms is to exploit level-3 BLAS routines, which can be highly optimized in terms of execution time. In the algorithms, error-free splitting for floatingpoint matrices is the key technique. In this paper, the improvement of error-free splitting is focused on. It is shown that the accuracy of matrix products can be improved by the modified error-free splitting, compared to the previous one.