M-tensors and The Positive Definiteness of a Multivariate Form
Numerical Analysis
2012-03-01 v1
Abstract
We study M-tensors and various properties of M-tensors are given. Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenvector. We propose an algorithm to find the smallest positive eigenvalue and then apply the property to study the positive definiteness of a multivariate form.
Cite
@article{arxiv.1202.6431,
title = {M-tensors and The Positive Definiteness of a Multivariate Form},
author = {Liping Zhang and Liqun Qi and Guanglu Zhou},
journal= {arXiv preprint arXiv:1202.6431},
year = {2012}
}