Solving System of Nonlinear Equations with the Genetic Algorithm and Newton’s Method

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Video in TIB AV-Portal: Solving System of Nonlinear Equations with the Genetic Algorithm and Newton’s Method

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Title
Solving System of Nonlinear Equations with the Genetic Algorithm and Newton’s Method
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License
CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date
2020
Language
English
Production Year
2020
Production Place
Tsukuba, Japan

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Subject Area
Abstract
An implementation and an application of the combination of the genetic algorithm and Newton's method for solving a system of nonlinear equations is presented. The method first uses the advantage of the robustness of the genetic algorithm for guessing the rough location of the roots, then it uses the advantage of a good rate of convergence of Newton’s method. An effective application of the method for the positioning problem of multiple small rovers proposed for the use in asteroid exploration is shown.
Keywords Genetic algorithm Newton's method Nonlinear equations
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