Visualization and genetic algorithms in minimax theory for nonlinear functionals
type: Item
instance of: scholarly article
title: Visualization and genetic algorithms in minimax theory for nonlinear functionals
zbMATH Open document ID: 1043.65039
DOI: 10.1023/A:1020334127827
author: Xiyu Liu
author: Ming-Xi Tang
author: John Frazer
published in: Journal of Scientific Computing
publication date: 2003-08-20T00:00:00Z
review text: Evolution and visualization of the existence of saddle points of nonlinear functionals or multivariable functions in finite-dimensional spaces are presented. New algorithms are developed based on the mountain pass lemma and link theory in nonlinear analysis. Furthermore, 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 interactive graphical interface.
Mathematics Subject Classification ID: 65D18
zbMATH DE Number: 1968055
zbMATH Keywords: visualization
zbMATH Keywords: genetic algorithm
zbMATH Keywords: minimax theory
zbMATH Keywords: nonlinear functionals
zbMATH Keywords: evolution
zbMATH Keywords: steepest descent algorithm
zbMATH Keywords: saddle-point finding
zbMATH Keywords: interactive graphical interface
reviewed by: Gabriele Steidl
MaRDI profile type: Publication
full work available at URL: a:1020334127827
OpenAlex ID: W1592838242
description: scientific article; zbMATH DE number 1968055