A homotopy method for computing the largest eigenvalue of an irreducible nonnegative tensor
Numerical Analysis
2017-01-27 v1
Abstract
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 eigenpair when the tensor is irreducible. We also implement the method using an prediction-correction approach for path following. Some numerical results are provided to illustrate the efficiency of the method.
Cite
@article{arxiv.1701.07534,
title = {A homotopy method for computing the largest eigenvalue of an irreducible nonnegative tensor},
author = {Liping Chen and Lixing Han and Hongxia Yin and Liangmin Zhou},
journal= {arXiv preprint arXiv:1701.07534},
year = {2017}
}
Comments
12 pages