Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints

Guoquan Li and Yan Wang

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/213178

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:213178

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