Bezier Curve Based Smoothing Penalty Function for Constrained Optimization

Authors : Ahmet SAHİNER, Nurullah YILMAZ, Gülden KAPUSUZ, Gamze ÖZKARDAŞ

Pages : 70-79

View : 9 | Download : 8

Publication Date : 2021-03-25

Article Type : Research Paper

Abstract :In this study, we consider nonlinear inequality constrained optimization problems. We introduce l1 exact penalty function approach with a new smoothing function based on Bezier curve. Then, we propose a new algorithm by using the differentiation based methods to solve for solving l1 exact penalty functions. Finally, we apply our algorithm to test problems to demonstrate the effectiveness of the algorithm
Keywords : l1 penalty function, Smoothing, Non smooth optimization