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Solutions and optimality criteria for nonconvex quadratic-exponential minimization problem.
- Source :
- Mathematical Methods of Operations Research; 2008, Vol. 67 Issue 3, p479-491, 13p, 8 Graphs
- Publication Year :
- 2008
-
Abstract
- This paper presents a set of complete solutions and optimality conditions for a nonconvex quadratic-exponential optimization problem. By using the canonical duality theory developed by the first author, the nonconvex primal problem in n-dimensional space can be converted into an one-dimensional canonical dual problem with zero duality gap, which can be solved easily to obtain all dual solutions. Each dual solution leads to a primal solution. Both global and local extremality conditions of these primal solutions can be identified by the triality theory associated with the canonical duality theory. Several examples are illustrated. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14322994
- Volume :
- 67
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Mathematical Methods of Operations Research
- Publication Type :
- Academic Journal
- Accession number :
- 32065016
- Full Text :
- https://doi.org/10.1007/s00186-007-0204-7