Smoothing techniques in solving non-Lipschitz absolute value equations
International Journal of Computer Mathematics, cilt.100, sa.4, ss.867-879, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 100 Sayı: 4
- Basım Tarihi: 2023
- Doi Numarası: 10.1080/00207160.2022.2163388
- Dergi Adı: International Journal of Computer Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.867-879
- Anahtar Kelimeler: Smoothing techniques, smoothing algorithm, absolute value equations, non-Lipschitz functions, Newton algorithm, GENERALIZED NEWTON METHOD, COMPLEMENTARITY-PROBLEMS, VERTICAL-BAR, ALGORITHM, NONSMOOTH
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
© 2023 Informa UK Limited, trading as Taylor & Francis Group.In this study, we define for the first time the non-Lipschitz generalization of absolute value equations and concentrate on solving the problem of non-Lipschitz absolute value equations based on smoothing techniques. Two different types of smoothing techniques which are local and global ones are considered in smoothing process of the problem. With the help of these smoothing techniques, the non-Lipschitz absolute value equations are reformulated as a family of parametrized smooth equations. Two new algorithms are developed to solve the problem by the help of smoothing functions. Finally, the numerical experiments have been performed to illustrate the efficiency of the new algorithms.