Abstract | ||
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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. |
Year | DOI | Venue |
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2015 | 10.1016/j.cam.2015.04.010 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Matrix multiplication,Accurate computations,Interval arithmetic | Matrix (mathematics),Arithmetic,Algorithm,Interval arithmetic,Matrix multiplication,Mathematics | Journal |
Volume | Issue | ISSN |
288 | C | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Katsuhisa Ozaki | 1 | 13 | 4.70 |
Takeshi Ogita | 2 | 231 | 23.39 |
Shin'ichi Oishi | 3 | 280 | 37.14 |