Istituto di Scienza e Tecnologie dell'Informazione     
Romani F. Some properties of disjoint sums of tensors related to matrix multiplication. In: Siam Journal on Computing, vol. 11 pp. 263 - 267. Society for Industrial and Applied Mathematics, 1982.
Let it be a disjoint sum of tensors associated to matrix multiplication. The rank of the tensorial powers of t is bounded by an expression involving the elements of t and an exponent for matrix multiplication. This relation leads to a trascendental equation defining a new exponent for matrix multiplication.
Subject Computational Complexity
matrix multiplication
Tensor rank

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