Factorization of Multivariate Positive Laurent Polynomials

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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.

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Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/74422

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503133
 http://arxiv.org/abs/math/0503133

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arXiv