Visualization and genetic algorithms in minimax theory for nonlinear functionals (Q1403971)
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scientific article; zbMATH DE number 1968055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Visualization and genetic algorithms in minimax theory for nonlinear functionals |
scientific article; zbMATH DE number 1968055 |
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Visualization and genetic algorithms in minimax theory for nonlinear functionals (English)
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20 August 2003
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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.
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visualization
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genetic algorithm
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minimax theory
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nonlinear functionals
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evolution
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steepest descent algorithm
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saddle-point finding
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interactive graphical interface
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