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An implementation and an application of the combination of the geneticalgorithm and Newton's method for solving a system of nonlinear equations ispresented. The method first uses the advantage of the robustness of the geneticalgorithm for guessing the rough location of the roots, then it uses theadvantage of a good rate of convergence of Newton's method. An effectiveapplication of the method for the positioning problem of multiple small roversproposed for the use in asteroid exploration is shown.

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