Title
Improvement of error-free splitting for accurate matrix multiplication
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.
Year
DOI
Venue
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 Ozaki1134.70
Takeshi Ogita223123.39
Shin'ichi Oishi328037.14