Improvement of error-free splitting for accurate matrix multiplication

Katsuhisa Ozaki ^[1] ; Takeshi Ogita ^[2] ; Shin'ichi Oishi ^[3]
1. [1] Shibaura Institute of Technology
  
  Shibaura Institute of Technology
  
  Japón
2. [2] Tokyo Woman's Christian University
  
  Tokyo Woman's Christian University
  
  Japón
3. [3] Waseda University
  
  Waseda University
  
  Japón
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Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 288, Nº 1 (November 2015), 2015, págs. 127-140
Idioma: inglés
DOI: 10.1016/j.cam.2015.04.010
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Resumen
- 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.