Implementation ofan Interior-Point Algorithm Based on a Kernel Function for Weighted Linear Complementarity Problems

We consider the solution of weighted linear complementarity problems using interior-point algorithms, where the search directions are determined by a specific kernel function. To achieve a more efficient implementation, we modify the theoretically well-performing algorithm. The resulting methods are analyzed using a code written in the Python programming language. We present numerical results for problems whose solutions, based on previous theoretical findings, would require a very high number of iterations.

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Publication Details

Journal
Műszaki Tudományos Közlemények
Published
2025-01-01
DOI
https://doi.org/10.33894/mtk-2025.22.05
Primary Topic
Advanced Optimization Algorithms Research
Type
article
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article

Implementation ofan Interior-Point Algorithm Based on a Kernel Function for Weighted Linear Complementarity Problems

Zsolt Darvay, Edina Máthé
Műszaki Tudományos Közlemények
Advanced Optimization Algorithms Research
article

Implementation ofan Interior-Point Algorithm Based on a Kernel Function for Weighted Linear Complementarity Problems

Zsolt Darvay, Edina Máthé
article en

Abstract

We consider the solution of weighted linear complementarity problems using interior-point algorithms, where the search directions are determined by a specific kernel function. To achieve a more efficient implementation, we modify the theoretically well-performing algorithm. The resulting methods are analyzed using a code written in the Python programming language. We present numerical results for problems whose solutions, based on previous theoretical findings, would require a very high number of iterations.

Műszaki Tudományos Közlemények(22)
Openalex Percentile: Top 79%
Advanced Optimization Algorithms Research
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Implementation ofan Interior-Point Algorithm Based on a Kernel Function for Weighted Linear Complementarity Problems — Zsolt Darvay, Edina Máthé · Műszaki Tudományos Közlemények (2025) | TGRS Research Map | TGRS