Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors
Numerical Analysis
2017-02-21 v1
Abstract
In this paper, a homotopy continuation method for the computation of nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that the homotopy continuation method is guaranteed to compute a nonnegative eigenpair. Additionally, using degree analysis, we show that the number of positive Z-eigenpairs of an irreducible nonnegative tensor is odd. A novel homotopy continuation method is proposed to compute an odd number of positive Z-eigenpairs, and some numerical results are presented.
Keywords
Cite
@article{arxiv.1702.05841,
title = {Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors},
author = {Yueh-Cheng Kuo and Wen-Wei Lin and Ching-Sung Liu},
journal= {arXiv preprint arXiv:1702.05841},
year = {2017}
}
Comments
22 pages, 3 figures