- Title
- Sufficient conditions for global optimality of semidefinite optimization
- Creator
- Quan, Jing; Wu, Zhiyou; Li, Guoquan; Wu, Ou
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/101889
- Identifier
- vital:10731
- Identifier
- ISSN:1025-5834
- Identifier
-
https://doi.org/10.1186/1029-242X-2012-108
- Abstract
- In this article, by using the Lagrangian function, we investigate the sufficient global optimality conditions for a class of semi-definite optimization problems, where the objective function are general nonlinear, the variables are mixed integers subject to linear matrix inequalities (LMIs) constraints as well as bounded constraints. In addition, the sufficient global optimality conditions for general nonlinear programming problems are derived, where the variables satisfy LMIs constraints and box constraints or bivalent constraints. Furthermore, we give the sufficient global optimality conditions for standard semi-definite programming problem, where the objective function is linear, the variables satisfy linear inequalities constraints and box constraints. © 2012 Quan et al.
- Relation
- Journal of Inequalities and Applications Vol. 2012, no. 108
- Rights
- © Quan et al; licensee Springer. 2012 This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Semi-definite programming (SDP); 0101 Pure Mathematics; 0102 Applied Mathematics
- Full Text
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