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AN INFEASIBLE INTERIOR-POINT ALGORITHM FOR BASED ON A FINITE HYPERBOLIC KERNEL FUNCTION

delete2026-01-01
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PRE
AI
S
Safa Guerdouh *
W
Wided Chikouche
B
Behrouz Kheirfam
DOI:10.14736/kyb-2026-1-0055delete
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Abstract

Abstract

En 中文
This paper concerns an infeasible kernel-based interior-point algorithm (IPA) for monotone linear complementarity problems (LCPs). Our algorithm differs from other existing algorithms in the literature since its feasibility step is induced by a finite hyperbolic barrier term. The convergence analysis shows that the proposed algorithm is well-defined and its complexity bound coincides with the currently best-known iteration bound of infeasible interior-point methods for monotone LCPs. Moreover, the practical performance of our algorithm is validated by some extensive numerical tests. To the best of our knowledge, this is the first full-Newton step infeasible IPA based on a hyperbolic kernel function for solving monotone LCPs.
Keywords:
linear complementarity problems
infeasible interior-point method
kernel function
polynomial complexity

Journal

K
Kybernetika
IF:
2.2
Papers:
12
Citations:
978

Organization

Azarbaijan Shahid Madani University cover
Azarbaijan Shahid Madani University
Scholars:
1.2K
Papers: 1.4K
Citations: 1.3K
U
universite de jijel
Scholars:
459
Papers: 413
Citations: 0