A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities

Authors : Nurullah Yilmaz, Ayşegül Kayacan

Pages : 137-146

Doi:10.33401/fujma.1261409

View : 211 | Download : 128

Publication Date : 2023-09-30

Article Type : Research

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.