Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints | Zendy

Guoquan Li | Zendy; Yan Wang | Zendy

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Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints

Author(s) -

Guoquan Li,

Yan Wang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/213178

Subject(s) - mathematics , constraint (computer aided design) , mathematical optimization , minification , quadratic equation , global optimization , nonlinear programming , nonlinear system , quadratic programming , sequential quadratic programming , inequality , mathematical analysis , physics , geometry , quantum mechanics

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

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