Smoothing Levenberg-Marquardt algorithm for solving non-Lipschitz absolute value equations
Journal of Applied Analysis, vol.29, no.2, pp.277-286, 2023 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 29 Issue: 2
- Publication Date: 2023
- Doi Number: 10.1515/jaa-2022-1025
- Journal Name: Journal of Applied Analysis
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, ABI/INFORM, zbMATH
- Page Numbers: pp.277-286
- Keywords: Non-Lipschitz absolute value equations, smoothing techniques, Levenberg-Marquardt algorithm, GENERALIZED NEWTON METHOD, NEURAL-NETWORK, VERTICAL-BAR, COMPLEMENTARITY, NONSMOOTH
- Süleyman Demirel University Affiliated: Yes
Abstract
© 2023 Walter de Gruyter GmbH, Berlin/Boston 2023.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.