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

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Citation of segment

Title	Solving System of Nonlinear Equations with the Genetic Algorithm and Newton’s Method
Title of Series	International Congress on Mathematical Software (ICMS) 2020
Author	Koshikawa, Ryuji Terui, Akira 0000-0003-0846-3643 (ORCID) Mikawa, Masahiko 0000-0002-2193-3198 (ORCID)
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.
Identifiers	10.5446/47899 (DOI)
Publisher	Technische Universität Braunschweig
Release Date	2020
Language	English
Production Year	2020
Production Place	Tsukuba, Japan

Subject Area	Information Science, Mathematics
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