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A new filled function method for an unconstrained nonlinear equation. (English) Zbl 1213.65077
The authors transform an unconstrained system of nonlinear equations into a special optimization problem. For this purpose, a new filled function is constructed by using the properties of the transformed optimization problem. The authors investigate theoretical and numerical properties of the proposed filled function, and is proposed an algorithm for a solution. In addition, under some conditions, a solution or an approximate solution to the system of nonlinear equations in finite iterations is found.

MSC:
65H10 Numerical computation of solutions to systems of equations
65K05 Numerical mathematical programming methods
90C30 Nonlinear programming
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