The Combined Homotopy Methods for Optimization Problem in Non-convex Constraints Region

摘要

In this paper, we study the homotopy method of the optimization problem in non-convex constraints region and introduce the constructive method about quasi-normal. We prove that the chosen mappings on constrained grads are positive independent and the constrained quasi-normal cone satisfies the quasi-normal cone condition. As a by-product of our analysis, we adopt the predictor-corrector procedure and make up the computation procedure with the Matlab language and have got a good digital result.