A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities

Year 2023, Volume: 6 Issue: 3, 137 - 146, 30.09.2023

Nurullah Yılmaz , Ayşegül Kayacan

https://doi.org/10.33401/fujma.1261409

https://izlik.org/JA56KC68UU

Abstract

In this study, the system of nonlinear inequalities (SNI) problem is investigated. First, a SNI is reformulated as a system of nonsmooth and nonlinear equations (SNNE). Second, a new smoothing technique for the "$\max$" function is proposed and the smoothing technique is employed for each element of the SNNE. Then, a new smoothing algorithm is developed in order to solve SNNE by combining the smoothing technique with the iterative method. The new algorithm is applied to some numerical examples to show the efficiency of our algorithm.

Keywords

Iterative methods , Smoothing , System of non-linear inequalities.

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