An optimization approach to finding roots of systems of nonlinear equations
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 licence by IOP Publishing Ltd.
Библиографическая ссылка
Khamisov O., Kolosnitsyn A. An optimization approach to finding roots of systems of nonlinear equations // IOP Conference Series: Materials Science and Engineering. Vol.537. No.4. ID: 042007. 2019. DOI: 10.1088/1757-899X/537/4/042007
