On non-optimal spectral factorizations

Lasha Ephremidze; Ivan Selesnick; Ilya Spitkovsky

doi:10.1515/gmj-2017-0020

On non-optimal spectral factorizations

Lasha Ephremidze, Ivan Selesnick, Ilya Spitkovsky

Research output: Contribution to journal › Article › peer-review

Abstract

For a given Laurent polynomial matrix function S, which is positive definite on the unit circle in the complex plane, we consider all possible polynomial spectral factors of S which are not necessarily invertible inside the unit circle.

Original language	English (US)
Pages (from-to)	517-522
Number of pages	6
Journal	Georgian Mathematical Journal
Volume	24
Issue number	4
DOIs	https://doi.org/10.1515/gmj-2017-0020
State	Published - Dec 1 2017

Keywords

Matrix spectral factorization

ASJC Scopus subject areas

General Mathematics

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title = "On non-optimal spectral factorizations",

abstract = "For a given Laurent polynomial matrix function S, which is positive definite on the unit circle in the complex plane, we consider all possible polynomial spectral factors of S which are not necessarily invertible inside the unit circle.",

keywords = "Matrix spectral factorization",

author = "Lasha Ephremidze and Ivan Selesnick and Ilya Spitkovsky",

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year = "2017",

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doi = "10.1515/gmj-2017-0020",

language = "English (US)",

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AU - Spitkovsky, Ilya

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KW - Matrix spectral factorization

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JF - Georgian Mathematical Journal

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On non-optimal spectral factorizations

Abstract

Keywords

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