FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 2, PAGES 107-166

The matrix capacity of a tensor

D. V. Zhdanovich

Abstract

View as HTML     View as gif image

In 1990, D. Coppersmith and S. Winograd published an estimate of the amount of arithmetic operations necessary for the multiplication of square matrices n ´ n, which equals O(n2.3755). In this article, we make a systematization of the theoretical instruments that were used by D. Coppersmith and S. Winograd for their estimate. The improved estimate O(n2.373) is one of the results of this systematization.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k1112/k112/k11205h.htm
Last modified: March 6, 2012