- Title
- Canonical duality theory and triality for solving general global optimization problems in complex systems
- Creator
- Morales-Silva, Daniel; Gao, David
- Date
- 2015
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/161718
- Identifier
- vital:12580
- Identifier
-
https://doi.org/10.2140/memocs.2015.3.139
- Identifier
- ISBN:2326-7186
- Abstract
- General nonconvex optimization problems are studied by using the canonical duality-triality theory. The triality theory is proved for sums of exponentials and quartic polynomials, which solved an open problem left in 2003. This theory can be used to find the global minimum and local extrema, which bridges a gap between global optimization and nonconvex mechanics. Detailed applications are illustrated by several examples. © 2015 Mathematical Sciences Publishers.
- Publisher
- Mathematical Sciences Publishers
- Relation
- Mathematics and Mechanics of Complex Systems Vol. 3, no. 2 (2015), p. 139-161
- Rights
- Copyright © 2015 Mathematical Sciences Publishers.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0105 Mathematical Physics; 0199 Other Mathematical Sciences; Canonical duality; Complex systems; Nonconvex optimization; Nonlinear analysis; Triality theory
- Full Text
- Reviewed
- Hits: 1812
- Visitors: 1706
- Downloads: 155
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | SOURCE1 | Published version | 633 KB | Adobe Acrobat PDF | View Details Download |