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A 5/2n2-lower bound for the rank of n×n-matrix multiplication over arbitrary fields

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1 Author(s)
Blaser, M. ; Inst. fur Inf., Bonn Univ., Germany

We prove a lower bound of 5/2n2-3n for the rank of n×n-matrix multiplication over an arbitrary field. Similar bounds hold for the rank of the multiplication in noncommutative division algebras and for the multiplication of upper triangular matrices

Published in:

Foundations of Computer Science, 1999. 40th Annual Symposium on

Date of Conference:

1999