A compact implementation of a recently proposed strongly polynomial-time algorithm for the general LP problem

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1. Verfasser: Awoniyi, Samuel
Format: Preprint
Veröffentlicht: 2025
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author Awoniyi, Samuel
author_facet Awoniyi, Samuel
contents This article presents a compact implementation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem. Each iteration of the algorithm consists of applying a pair of complementary Gauss-Jordan (GJ) pivoting operations. In this compact implementation of the algorithm, the GJ pivoting operations are done inside a matrix that has half the size of the original matrix. A numerical illustration is given.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01426
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A compact implementation of a recently proposed strongly polynomial-time algorithm for the general LP problem
Awoniyi, Samuel
Optimization and Control
Math OC
This article presents a compact implementation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem. Each iteration of the algorithm consists of applying a pair of complementary Gauss-Jordan (GJ) pivoting operations. In this compact implementation of the algorithm, the GJ pivoting operations are done inside a matrix that has half the size of the original matrix. A numerical illustration is given.
title A compact implementation of a recently proposed strongly polynomial-time algorithm for the general LP problem
topic Optimization and Control
Math OC
url https://arxiv.org/abs/2505.01426