Using the best known algorithm for matrix multiplication, we achieve a running time of O(m1:62n) arithmetic operations for an m n problem in standard form.
Using the best known algorithm for matrix multiplication, we achieve a running time of O(m1.594 n) arithmetic operations for an m × n problem in standard form.
Using the best known algorithm for matrix multiplication, we achieve a run- ning time of 0(m'.594n) arithmetic operations for the m x n basis crashing problem.
Asymptotically fast multiplication algorithms for matrix pairs of arbitrary dimensions are studied, and the exponents of their arithmetic complexity bounds ...
Oct 10, 2022 · The simplest algorithm for multiplying matrices of some size over some field in fewer steps than computing each entry as a simple dot product?
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Feb 2, 2024 · Sawin '17 showed that for any finite group G, using a family of constructions only in the powers Gk cannot give ω=2. Some notable families that ...
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Dec 15, 2010 · Or using a "fast" general-purpose (mxn) algorithm may produce much slower results than using an optimised 3x3 matrix multiply. If you really ...
Oct 5, 2022 · In the present paper, the authors have investigated matrix multiplication algorithms for multiplying rectangular matrices A and B, with the following sizes.
We consider the problem of finding a basic solution to a system of linear constraints (in standard form) given a non-basic solution to the system.
Fast sparse matrix multiplication. Let A and B two n×n matrices over a ring R (e.g., the reals or the integers) each containing at most m nonzero elements.