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Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints

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  • Guoquan Li
  • Yan Wang

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.

Suggested Citation

  • Guoquan Li & Yan Wang, 2014. "Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-5, April.
    • Handle: RePEc:hin:jnljam:213178
    DOI: 10.1155/2014/213178
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