Communications in Mathematical Sciences

Volume 6 (2008)

Number 2

Perron-Frobenius theorem for nonnegative tensors

Pages: 507 – 520

DOI: https://dx.doi.org/10.4310/CMS.2008.v6.n2.a12

Authors

K. C. Chang

K. Pearson

T. Zhang

Abstract

We generalize the Perron-Frobenius Theorem for nonnegative matrices to the class of nonnegative tensors.

Keywords

numerical multilinear algebra, higher order tensor

2010 Mathematics Subject Classification

15A18, 15A69

Published 1 January 2008