论文标题
张量互补问题的解决方案使用均匀函数
Solution of Tensor Complementarity Problem Using Homotopy Function
论文作者
论文摘要
本文旨在提出一种合适的方法来找到张量互补问题的解决方案。张量互补问题是非线性互补性问题的子类，涉及功能由张量定义。我们提出了一个具有平滑且有界同质途径的新同质函数，以在某些条件下获得张量互补问题的解决方案。基于提出的同质函数开发了同质延续方法。提供了几个数值示例，以显示提出的同型连续方法的有效性。
The paper aims to propose a suitable method in finding the solution of tensor complementarity problem. The tensor complementarity problem is a subclass of nonlinear complementarity problems for which the involved function is defined by a tensor. We propose a new homotopy function with smooth and bounded homotopy path to obtain solution of the tensor complementarity problem under some conditions. A homotopy continuation method is developed based on the proposed homotopy function. Several numerical examples are provided to show the effectiveness of the proposed homotopy continuation method.
