Evolutionary Method for Nonlinear Systems of Equations
We propose a new perspective for solving systems of nonlinear equations by viewing them as a multiobjective optimization problem where every equation represents an objective function whose goal is to minimize the difference between the right- and left-hand side of the corresponding equation of the system. An evolutionary computation technique is suggested to solve the problem obtained by transforming the system into a multiobjective optimization problem. Results obtained are compared with some of the well-established techniques used for solving nonlinear equation systems.
KeywordsNonlinear System Pareto Front Multiobjective Optimization Problem Secant Method Nondominated Solution
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