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Abstract: In this paper, we extend the filled function method proposed in Lin et al. (2009) [10] to solve the constrained system of nonlinear equations, and we propose two methods to find a solution of such a system. Finally the efficiency of the present method is illustrated through some examples. [Copyright &y& Elsevier]

Abstract: In this paper, a new global optimization approach based on the filled function method is proposed for solving box-constrained systems of nonlinear equations. We first convert the nonlinear system into an equivalent global optimization problem, and then propose a new filled function method to solve the converted global optimization problem. Several numerical examples are presented and solved by using different local minimization methods, which illustrate the efficiency of the present approach. [Copyright &y& Elsevier]