Nonlinear Equation Solving
This chapter introduces a global optimization approach for finding solutions of nonlinear systems of functional equations using Fuzzy ASA. The original problem is transformed into a global optimization one by synthesizing objective functions whose global minima, if any, are also solutions to the original system. The global minimization process is triggered from different starting points so as to find as many solutions as possible. To demonstrate its utility, the method is applied to several types of equations, presenting very good results. The equation systems are composed of n equations on n-dimensional Euclidean spaces.
KeywordsGlobal Optimization Merit Function Polynomial System Search Region Solution Versus
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