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 : 205 | Download : 125

Publication Date : 2023-09-30

Article Type : Research Paper

Abstract :In this study, the system of nonlinear inequalities insert ignore into journalissuearticles values(SNI); problem is investigated. First, a SNI is reformulated as a system of nonsmooth and nonlinear equations insert ignore into journalissuearticles values(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