Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints
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 ine...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/213178 |
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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |