Smoothing Levenberg–Marquardt algorithm for solving non-Lipschitz absolute value equations-Reference-Cited by-同舟云学术

Smoothing Levenberg–Marquardt algorithm for solving non-Lipschitz absolute value equations

Published:2023-01-26 Issue:2 Volume:29 Page:277-286
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Yilmaz Nurullah¹^ORCID,Kayacan Aysegul¹^ORCID

Affiliation:

1. Department of Mathematics , Suleyman Demirel University , Isparta , Turkey

Abstract

Abstract In this study, we concentrate on solving the problem of non-Lipschitz absolute value equations (NAVE). A new Bezier curve based smoothing technique is introduced and a new Levenberg–Marquardt type algorithm is developed depending on the smoothing technique. The numerical performance of the algorithm is analysed by considering some well-known and randomly generated test problems. Finally, the comparison with other methods is illustrated to demonstrate the efficiency of the proposed algorithm.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2022-1025/pdf

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