Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-22
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Guoquan& Wang, Yan. 2014. Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-454993
Modern Language Association (MLA)
Li, Guoquan& Wang, Yan. Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints. Journal of Applied Mathematics No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-454993
American Medical Association (AMA)
Li, Guoquan& Wang, Yan. Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-454993
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454993