Validation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem

Samuel Awoniyi

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arXiv · 2310.05855

Validation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem

Samuel Awoniyi

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Abstract

This article presents a validation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem. The proposed algorithm is an implicit reduction procedure that combines primal and dual linear programming problems into a special system of linear equations constrained by complementarity relations and non-negative variables. Each iteration of the algorithm consists of applying a pair of complementary Gauss-Jordan pivoting operations, guided by a necessary-condition lemma. This validation article demonstrates that the proposed algorithm requires no more than 2(k+n) iterations, where k is the number of constraints and n is the number of variables of given general linear programming problem.

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Samuel Awoniyi. 2023-10-09. Validation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem. https://arxiv.org/abs/2310.05855

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