Visualization and Genetic Algorithms in Minimax Theory for Nonlinear Functionals
Liu, Xiyu, Frazer, John H., & Tang, Ming Xi (2003) Visualization and Genetic Algorithms in Minimax Theory for Nonlinear Functionals. Journal of Scientific Computing, 18(1), pp. 49-68.
Abstract
In this paper, evolution and visualization of the existence of saddle points of nonlinear functionals or multi-variable functions in finite dimensional spaces are presented. New algorithms are developed based on the mountain pass lemma and link thery in nonlinear analysis. Further more, a simple comparison of the steepest descent algorithm and the genetic algorithm is given. The process of the saddle point finding is visualised in an inteactive graphical interface.
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| ID Code: | 11340 |
|---|---|
| Item Type: | Journal Article |
| Keywords: | Visualization, genetic algorithm, minimax theory, nonlinear |
| DOI: | 10.1023/A:1020334127827 |
| ISSN: | 0885-7474 |
| Subjects: | Australian and New Zealand Standard Research Classification > BUILT ENVIRONMENT AND DESIGN (120000) |
| Divisions: | Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering |
| Copyright Owner: | Copyright 2003 Springer |
| Copyright Statement: | The original publication is available at SpringerLink http://www.springerlink.com |
| Deposited On: | 07 Jan 2008 |
| Last Modified: | 29 Feb 2012 23:24 |
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