ON J-UNITARY MATRIX POLYNOMIALS

Lasha Ephremidze; Aleksandre Saatashvili; Ilya M. Spitkovsky

doi:10.1007/s10958-022-05878-w

ON J-UNITARY MATRIX POLYNOMIALS

Lasha Ephremidze, Aleksandre Saatashvili, Ilya M. Spitkovsky

Mathematics

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

Abstract

An efficient method for construction of J-unitary matrix polynomials is proposed, associated with companion matrix functions the last row of which is a polynomial in 1/t. The method relies on Wiener-Hopf factorization theory and stems from recently developed J-spectral factorization algorithm for certain Hermitian matrix functions.

Original language	English (US)
Pages (from-to)	196-209
Number of pages	14
Journal	Journal of Mathematical Sciences
Volume	266
Issue number	1
DOIs	https://doi.org/10.1007/s10958-022-05878-w
State	Published - Sep 2022

Keywords

J-unitary matrices
Wiener-Hopf factorization

ASJC Scopus subject areas

Statistics and Probability
Mathematics(all)
Applied Mathematics

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10.1007/s10958-022-05878-w

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title = "ON J-UNITARY MATRIX POLYNOMIALS",

abstract = "An efficient method for construction of J-unitary matrix polynomials is proposed, associated with companion matrix functions the last row of which is a polynomial in 1/t. The method relies on Wiener-Hopf factorization theory and stems from recently developed J-spectral factorization algorithm for certain Hermitian matrix functions.",

keywords = "J-unitary matrices, Wiener-Hopf factorization",

author = "Lasha Ephremidze and Aleksandre Saatashvili and Spitkovsky, {Ilya M.}",

note = "Funding Information: The first and the third authors were partially supported by Faculty Research funding from the Division of Science and Mathematics, NYUAD and H2020-MSCA-RISE-2020 grant ID: 101008140. Publisher Copyright: {\textcopyright} 2022, Springer Science+Business Media, LLC, part of Springer Nature.",

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doi = "10.1007/s10958-022-05878-w",

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AU - Ephremidze, Lasha

AU - Saatashvili, Aleksandre

AU - Spitkovsky, Ilya M.

N1 - Funding Information: The first and the third authors were partially supported by Faculty Research funding from the Division of Science and Mathematics, NYUAD and H2020-MSCA-RISE-2020 grant ID: 101008140. Publisher Copyright: © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2022/9

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N2 - An efficient method for construction of J-unitary matrix polynomials is proposed, associated with companion matrix functions the last row of which is a polynomial in 1/t. The method relies on Wiener-Hopf factorization theory and stems from recently developed J-spectral factorization algorithm for certain Hermitian matrix functions.

AB - An efficient method for construction of J-unitary matrix polynomials is proposed, associated with companion matrix functions the last row of which is a polynomial in 1/t. The method relies on Wiener-Hopf factorization theory and stems from recently developed J-spectral factorization algorithm for certain Hermitian matrix functions.

KW - J-unitary matrices

KW - Wiener-Hopf factorization

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JF - Journal of Mathematical Sciences

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ON J-UNITARY MATRIX POLYNOMIALS

Abstract

Keywords

ASJC Scopus subject areas

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