Improving the numerical stability of fast matrix multiplication

G Ballard, AR Benson, A Druinsky, B Lipshitz… - SIAM Journal on Matrix …, 2016 - SIAM
Fast algorithms for matrix multiplication, namely those that perform asymptotically fewer
scalar operations than the classical algorithm, have been considered primarily of theoretical
interest. Apart from Strassen's original algorithm, few fast algorithms have been efficiently
implemented or used in practical applications. However, there exist many practical
alternatives to Strassen's algorithm with varying performance and numerical properties. Fast
algorithms are known to be numerically stable, but because their error bounds are slightly …

Improving the numerical stability of fast matrix multiplication

G Ballard, AR Benson, A Druinsky, B Lipshitz… - arXiv preprint arXiv …, 2015 - arxiv.org
Fast algorithms for matrix multiplication, namely those that perform asymptotically fewer
scalar operations than the classical algorithm, have been considered primarily of theoretical
interest. Apart from Strassen's original algorithm, few fast algorithms have been efficiently
implemented or used in practical applications. However, there exist many practical
alternatives to Strassen's algorithm with varying performance and numerical properties. Fast
algorithms are known to be numerically stable, but because their error bounds are slightly …
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