3 papers
math.OC2018
A continuation method for tensor complementarity problems
Lixing Han
We introduce a Kojima-Megiddo-Mizuno type continuation method for solving tensor complementarity problems. We show that there exists a bounded continuation trajectory when the tens…
math.NA2017
A homotopy method for solving multilinear systems with M-tensors
Lixing Han
Multilinear systems of equations arise in various applications, such as numerical partial differential equations, data mining, and tensor complementarity problems. In this paper, w…
math.NA2017
A homotopy method for computing the largest eigenvalue of an irreducible nonnegative tensor
Liping Chen, Lixing Han, Hongxia Yin +1
In this paper we propose a homotopy method to compute the largest eigenvalue and a corresponding eigenvector of a nonnegative tensor. We prove that it converges to the desired eige…