Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638396 | Journal of Computational and Applied Mathematics | 2015 | 14 Pages |
Abstract
Recently, new algorithms for accurate matrix multiplication have been developed by the authors. A characteristic of the algorithms is a high dependency on level-3 BLAS routines, which are highly optimized for several architectures. An error-free splitting for floating-point matrices is a key technique in the algorithms. In this paper, an improvement of the error-free splitting is focused on. It is shown by numerical examples that the accuracy of computed results of matrix products can be improved by the modified error-free splitting, compared to that by the previous algorithms.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Katsuhisa Ozaki, Takeshi Ogita, Shin’ichi Oishi,