COMPLEXITY ANALYSIS OF INTERIOR-POINT METHODS FOR LINEAR OPTIMIZATION BASED ON A NEW KERNEL FUNCTION WITH A TRIGONOMETRIC BARRIER TERM

BOUALI, SAMIR (2015) COMPLEXITY ANALYSIS OF INTERIOR-POINT METHODS FOR LINEAR OPTIMIZATION BASED ON A NEW KERNEL FUNCTION WITH A TRIGONOMETRIC BARRIER TERM. Asian Journal of Mathematics and Computer Research, 5 (1). pp. 1-9.

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Abstract

In this paper, we present a new barrier function for primal-dual interior-point methods in linear optimization. This kernel function has a trigonometric barrier term. It is proved that the algorithm based on this new kernel function has O (n34log nϵ) iteration complexity for a large-update methods, for a small-update the algorithm has O(√n log nϵ), which coincide with the best known iteration bound for linear optimization.

Item Type: Article
Subjects: Institute Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 27 Dec 2023 05:47
Last Modified: 27 Dec 2023 05:47
URI: http://eprint.subtopublish.com/id/eprint/3882

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