Tracing homotopy path for the solution of nonlinear complementarity Problem
Optimization and Control
2022-09-02 v1
Abstract
In this article, we consider nonlinear complementarity problem. We introduce a new homotopy function for finding the solution of nonlinear complementarity problem through the trajectory . We show that the homotopy path approaching the solution is smooth and bounded . Numerical example of an oligopoly equilibrium problem is illustrated to show the effectiveness of the proposed algorithm. Keywords: Nonlinear complementarity problem, homotopy continuation method, Oligopoly equilibrium problem.
Keywords
Cite
@article{arxiv.2209.00382,
title = {Tracing homotopy path for the solution of nonlinear complementarity Problem},
author = {A. Dutta and A. K. Das},
journal= {arXiv preprint arXiv:2209.00382},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2205.02042, arXiv:2203.08561