Factorization of Multivariate Positive Laurent Polynomials

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dc.creatorGeronimo, Jeffrey S.
dc.creatorLai, Ming-Jun
dc.date2005-03-07
dc.date.accessioned2026-07-07T05:17:45Z
dc.date.available2026-07-07T05:17:45Z
dc.descriptionRecently 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.
dc.identifierhttps://arxiv.org/abs/math/0503133
dc.identifierhttp://arxiv.org/abs/math/0503133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74422
dc.subjectClassical Analysis and ODEs
dc.titleFactorization of Multivariate Positive Laurent Polynomials
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