M-tensors and The Positive Definiteness of a Multivariate Form

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.

Cited by in corpus (2)

• Finding the Spectral Radius of a Nonnegative Tensor
• M-Tensors and Nonsingular M-Tensors