Powers of tensors and fast matrix multiplication

作者: François Le Gall

DOI: 10.1145/2608628.2608664

关键词:

摘要: This paper presents a method to analyze the powers of given trilinear form (a special kind algebraic construction also called tensor) and obtain upper bounds on asymptotic complexity matrix multiplication. Compared with existing approaches, this is based convex optimization, thus has polynomial-time complexity. As an application, we use study by Coppersmith Winograd [Journal Symbolic Computation, 1990] bound ω

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