Affiliation:
1. School of Mathematics and Computer Sciences, Shanxi Normal University, Shanxi 041004, China
Abstract
Homotopy methods are powerful tools for solving nonlinear programming. Their global convergence can be generally established under conditions of the nonemptiness and boundness of the interior of the feasible set, the Positive Linear Independent Constraint Qualification (PLICQ), which is equivalent to the Mangasarian-Fromovitz Constraint Qualification (MFCQ), and the normal cone condition. This paper provides a comparison of the existing normal cone conditions used in homotopy methods for solving inequality constrained nonlinear programming.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,General Physics and Astronomy