Factorization of multivariate positive Laurent polynomials
نویسندگان
چکیده
منابع مشابه
Factorization of multivariate positive Laurent polynomials
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 Féjer-Riesz theorem. Then we discuss a computational method to find approximates of polynomial matrix factorization. Some numerical examples will be shown. F...
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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 Féjer-Riesz theorem. Then we discuss a computational method to find approximates of polynomial matrix factorization. Some numerical examples will be shown. F...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2006
ISSN: 0021-9045
DOI: 10.1016/j.jat.2005.09.010