Affiliation:
1. Department of Mathematics and Information Science, School of Information Science and Engineering, Shandong Agricultural University, Tai’an 271000, China
Abstract
This paper considers the nonlinear symmetric conic programming (NSCP) problems. Firstly, a type of strong sufficient optimality condition for NSCP problems in terms of a linear-quadratic term is introduced. Then, a sufficient condition of the nonsingularity of Clarke’s generalized Jacobian of the Karush–Kuhn–Tucker (KKT) system is demonstrated. At last, as an application, this property is used to obtain the local convergence properties of a sequential quadratic programming- (SQP-) type method.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics