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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.

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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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