A Note on the Group-theoretic Approach to Fast Matrix Multiplication
نویسنده
چکیده
In 2003 Cohn and Umans introduced a group-theoretic approach to fast matrix multiplication. This involves finding large subsets S, T and U of a group G satisfying the Triple Product Property (TPP) as a means to bound the exponent ω of the matrix multiplication. We show that S, T and U may be be assumed to contain the identity and be otherwise disjoint. We also give a much shorter proof of the upper bound |S|+ |T |+ |U | ≤ |G|+ 2.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1101.5598 شماره
صفحات -
تاریخ انتشار 2011