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

Akira Terui; Masahiko Mikawa; Ryuji Koshikawa

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

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arxiv 2007.05159 v1 pith:SNKRYIXX submitted 2020-07-10 math.NA cs.NAeess.SP

Ryuji Koshikawa , Akira Terui , Masahiko Mikawa This is my paper · ORCID

classification math.NAcs.NAeess.SP

keywords methodalgorithmgeneticnewtonadvantageapplicationequationsnonlinear

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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.

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