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
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