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arXiv · 2410.19350

On pairs of complementary GJ pivoting transforming skew-symmetric matrices

Samuel Awoniyi
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Abstract

This article describes certain ratios that attend pairs of complementary Gauss-Jordan pivotings transforming skew-symmetric matrices. Our interest in those ratios was motivated by a need to prove a crucial Claim stated in a recently proposed strongly polynomial-time algorithm for the general LP problem. That Claim is proved in this article and, as a consequence of this proof, a compact implementation of the strongly polynomial-time algorithm is suggested.

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Samuel Awoniyi. 2024-10-25. On pairs of complementary GJ pivoting transforming skew-symmetric matrices. https://arxiv.org/abs/2410.19350

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