Canonical Duality for Box Constrained Nonconvex and Nonsmooth Optimization Problems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Jing& Liu, Huicheng. 2015. Canonical Duality for Box Constrained Nonconvex and Nonsmooth Optimization Problems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073582
Modern Language Association (MLA)
Liu, Jing& Liu, Huicheng. Canonical Duality for Box Constrained Nonconvex and Nonsmooth Optimization Problems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073582
American Medical Association (AMA)
Liu, Jing& Liu, Huicheng. Canonical Duality for Box Constrained Nonconvex and Nonsmooth Optimization Problems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073582
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073582