Perron-Frobenius theorem for nonnegative multilinear forms and extensions
Spectral Theory
2011-12-30 v3 Numerical Analysis
Abstract
We prove an analog of Perron-Frobenius theorem for multilinear forms with nonnegative coefficients, and more generally, for polynomial maps with nonnegative coefficients. We determine the geometric convergence rate of the power algorithm to the unique normalized eigenvector.
Cite
@article{arxiv.0905.1626,
title = {Perron-Frobenius theorem for nonnegative multilinear forms and extensions},
author = {S. Friedland and S. Gaubert and L. Han},
journal= {arXiv preprint arXiv:0905.1626},
year = {2011}
}
Comments
13 pages