A new search direction for full-Newton step infeasible interior-point method in linear optimization

Authors

  • Behrouz Kheirfam Department of Applied Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

Abstract

In this work, we investigate a full Newton step infeasible interior-point method for
linear optimization based on a new search direction which is obtained from an algebraic equivalent transformation of the central path system. Furthemore, we prove that the proposed method obtains an $\varepsilon$-optimal solution to the original problem in polynomial time.

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Published

2023-12-19

Issue

Section

CRORR Journal Regular Issue