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  • 1
    Electronic Resource
    Electronic Resource
    Numerische Mathematik 79 (1998), S. 485-499 
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991): 65F30, 65F35, 65G05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. Fast matrix multiplication algorithms of Strassen and Winograd are known to have weaker numerical accuracy than usual (inner product) multiplication. In this paper, we show that scaling usually improves accuracy when operands have elements of widely varying magnitude. We also propose estimators for numerical errors, based on samples of the result. All these estimators can be computed in $O(n^2)$ operations. Experiments prove the effectiveness of the scaling idea and of the absolute error estimator.
    Type of Medium: Electronic Resource
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