Fej(e)r-Riesz Factorization Challenges and Applications

来源 :2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a | 被引量 : 0次 | 上传用户：XHR

【摘要】

：

　　Given a Laurent polynomial with matrix coeffcients that is positive semi-definite over the unit circle in the complex plane, the Fej(e)r-Riesz theorem asser

【作者】

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Moody Chu

【机构】

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NorthCarolinaStateUniversity

【出处】

：

2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a

【发表日期】

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2016年5期

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　　Given a Laurent polynomial with matrix coeffcients that is positive semi-definite over the unit circle in the complex plane, the Fej(e)r-Riesz theorem asserts that it can always be factorized as the product of a polynomial with matrix coeffcients and its adjoint. Such a notion includes the Cholesky decomposition as a trivial case and generalizes the notion of sums-of-squares.

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Fej(e)r-Riesz Factorization Challenges and Applications

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