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An optimization approach to finding roots of systems of nonlinear equations

....1088/1757-899X/537/4/042007 We describe and test an approach to finding roots of systems of nonlinear equations. This approach is based on a reduction to an auxiliary optimization problem. In spite of the fact that the reduced problem is, in general, a nonconvex optimization problem, we use only local search techniques and provide conditions for the obtained stationary point to be a root of the initial system of nonlinear equations. Results of computational experiments are given. © Published under ...

Теги: optimization , computational experiment , local search techniques , nonconvex optimization problem , optimization approach , optimization problems , stationary points , system of nonlinear equations , systems


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