Canonical Duality for Box Constrained Nonconvex and Nonsmooth Optimization Problems

This paper presents an application of the canonical duality theory for box constrained nonconvex and nonsmooth optimization problems. By use of the canonical dual transformation method, which is developed recently, these verydifficult constrained optimization problems in Rn can be converted into the...

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Published inMathematical problems in engineering Vol. 2015; no. 2015; pp. 1 - 9
Main Authors Liu, Jing, Liu, Huicheng
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2015
Hindawi Limited
Subjects
Constraints
Mathematical analysis
Mathematical functions
Methods
Optimization
Partial differential equations
Transformations (mathematics)
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Summary:This paper presents an application of the canonical duality theory for box constrained nonconvex and nonsmooth optimization problems. By use of the canonical dual transformation method, which is developed recently, these verydifficult constrained optimization problems in Rn can be converted into the canonical dual problems, which can be solved by deterministic methods. The global and local extrema can be identified by the triality theory. Some examples are listed to illustrate the applications of the theory presented in the paper.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/354263