Factorization of Multivariate Positive Laurent Polynomials
Classical Analysis and ODEs
2007-05-23 v1
Abstract
Recently Dritschel proves that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another proof of the Dritschel theorem. Our proof is based on the univariate matrix Fejer-Riesz theorem. Then we discuss a computational method to find approximates of polynomial matrix factorization. Some numerical examples will be shown. Finally we discuss how to compute nonnegative Laurent polynomial factorizations in the multivariate setting.
Keywords
Cite
@article{arxiv.math/0503133,
title = {Factorization of Multivariate Positive Laurent Polynomials},
author = {Jeffrey S. Geronimo and Ming-Jun Lai},
journal= {arXiv preprint arXiv:math/0503133},
year = {2007}
}