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

• Autorzy: Yilmaz, Nurullah , Kayacan, Aysegul
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

non-Lipschitz absolute value equations; smoothing techniques; Levenberg-Marquardt algorithm

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 277--286
• Opis fizyczny: Bibliogr. 51 poz., wykr.

Twórcy

autor

Yilmaz, Nurullah

• Department of Mathematics, Suleyman Demirel University, Isparta, Turkey,

autor

Kayacan, Aysegul

• Department of Mathematics, Suleyman Demirel University, Isparta, Turkey,

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).

Identyfikatory

DOI

10.1515/jaa-2022-1025