Coppersmith–Winograd algorithm - Square Matrix Multiplication


Coppersmith–Winograd algorithm - Square Matrix Multiplication

Coppersmith–Winograd algorithm was the asymptotically fastest known algorithmfor square matrix multiplication until 2010. It can multiply two n \times n matrices in O(n^{2.375477}) time. This is an improvement over the naïve O(n^3) time algorithm and the O(n^{2.807355}) time Strassen algorithm

The Coppersmith–Winograd algorithm is frequently used as a building block in other algorithms to prove theoretical time bounds. However, unlike the Strassen algorithm, it is not used in practice because it only provides an advantage for matrices so large that they cannot be processed by modern hardware.

http://theory.stanford.edu/~virgi/matrixmult-f.pdf
http://bioinfo.ict.ac.cn/~dbu/AlgorithmCourses/Lectures/MAndersonSBarman2009.pdf

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