Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application

Yun Wang and Dezhou Kong

Mathematical Problems in Engineering, 2020, vol. 2020, 1-9

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8824126

DOI: 10.1155/2020/8824126

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