Anthony Breitzman
Rowan University Department of Computer Science

Abstract

Numpy is a popular Python library widely used in the math and scientific community because of its speed and convenience. We present a Strassen type algorithm for multiplying large matrices with integer entries. The algorithm is the standard Strassen divide and conquer algorithm but it crosses over to Numpy when either the row or column dimension of one of the matrices drops below 128. The algorithm was tested on a MacBook, an I7 based Windows machine as well as a Linux machine running a Xeon processor and we found that for matrices with thousands of rows or columns and integer entries, the Strassen based algorithm with crossover performed 8 to 30 times faster than regular Numpy on such matrices. Although there is no apparent advantage for matrices with real entries, there are a number of applications for matrices with integer coefficients.

Keywords

Strassen, Numpy, Integer Matrix

DOI

10.25080/gerudo-f2bc6f59-002

Bibtex entry

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Copyright © 2023 Anthony Breitzman. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.