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

Yilmaz Nurullah, Kayacan Aysegul

Journal of Applied Analysis

2023

Vol. 29, nr 2

277--286

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.