论文标题
追踪非线性互补问题解决方案的同义路径
Tracing homotopy path for the solution of nonlinear complementarity Problem
论文作者
论文摘要
在本文中,我们考虑了非线性互补性问题。我们引入了一种新的同型函数,用于通过轨迹找到非线性互补性问题的解决方案。我们表明,接近溶液的同置路径是平滑且有界的。说明了寡头平衡问题的数值示例,以显示所提出的算法的有效性。 关键词:非线性互补性问题,同型连续方法,寡头均衡问题。
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.