A New Working Set Method for Nonlinear Inequality Constrained Minimization

The main purpose of this project is to develop a new active set method (ASM) called a working set method (WSM) for solving a general nonlinear inequality constrained minimization problem in a Hilber space. Mathematical analysis is carried out to validate the method and to show its merits over other ASMs. Since the method is quite general and new, some results on its implementation and application are presented. Numerical examples on some benchmark problems are carried out to test the method.