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2014 Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints
Guoquan Li, Yan Wang
J. Appl. Math. 2014(SI24): 1-5 (2014). DOI: 10.1155/2014/213178

Abstract

Some necessary global optimality conditions and sufficient global optimality conditions for nonconvex minimization problems with a quadratic inequality constraint and a linear equality constraint are derived. In particular, global optimality conditions for nonconvex minimization over a quadratic inequality constraint which extend some known global optimality conditions in the existing literature are presented. Some numerical examples are also given to illustrate that a global minimizer satisfies the necessary global optimality conditions but a local minimizer which is not global may fail to satisfy them.

Citation

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Guoquan Li. Yan Wang. "Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints." J. Appl. Math. 2014 (SI24) 1 - 5, 2014. https://doi.org/10.1155/2014/213178

Information

Published: 2014
First available in Project Euclid: 1 October 2014

zbMATH: 07131409
MathSciNet: MR3200838
Digital Object Identifier: 10.1155/2014/213178

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI24 • 2014
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