An optimization approach to finding roots of systems of nonlinear equations

International Workshop "Advanced Technologies in Material Science, Mechanical and Automation Engineering – MIP: Engineering – 2019"

材料科学;机械制造;原子能学

Khamisov, O.^1 ; Kolosnitsyn, A.^1

Melentiev Energy System Institute, Lermontov street 130, Irkutsk

664033, Russia^1

关键词: Computational experiment;    Local search techniques;    Nonconvex optimization problem;    Optimization approach;    Optimization problems;    Stationary points;    System of nonlinear equations;    Systems of nonlinear equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/537/4/042007/pdf
DOI  :  10.1088/1757-899X/537/4/042007

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

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.