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 factor...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US
2022
|
| Online Access: | https://hdl.handle.net/1721.1/146835 |
| _version_ | 1826202335911608320 |
|---|---|
| author | Ephremidze, Lasha Saatashvili, Aleksandre Spitkovsky, Ilya M. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Ephremidze, Lasha Saatashvili, Aleksandre Spitkovsky, Ilya M. |
| author_sort | Ephremidze, Lasha |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:05:51Z |
| format | Article |
| id | mit-1721.1/146835 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:05:51Z |
| publishDate | 2022 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1468352023-08-26T04:23:36Z ON J-UNITARY MATRIX POLYNOMIALS Ephremidze, Lasha Saatashvili, Aleksandre Spitkovsky, Ilya M. Massachusetts Institute of Technology. Department of Mathematics 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. 2022-12-12T13:58:05Z 2022-12-12T13:58:05Z 2022-08-16 2022-12-10T04:21:50Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/146835 Ephremidze, Lasha, Saatashvili, Aleksandre and Spitkovsky, Ilya M. 2022. "ON J-UNITARY MATRIX POLYNOMIALS." en https://doi.org/10.1007/s10958-022-05878-w Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer Science+Business Media, LLC, part of Springer Nature application/pdf Springer US Springer US |
| spellingShingle | Ephremidze, Lasha Saatashvili, Aleksandre Spitkovsky, Ilya M. ON J-UNITARY MATRIX POLYNOMIALS |
| title | ON J-UNITARY MATRIX POLYNOMIALS |
| title_full | ON J-UNITARY MATRIX POLYNOMIALS |
| title_fullStr | ON J-UNITARY MATRIX POLYNOMIALS |
| title_full_unstemmed | ON J-UNITARY MATRIX POLYNOMIALS |
| title_short | ON J-UNITARY MATRIX POLYNOMIALS |
| title_sort | on j unitary matrix polynomials |
| url | https://hdl.handle.net/1721.1/146835 |
| work_keys_str_mv | AT ephremidzelasha onjunitarymatrixpolynomials AT saatashvilialeksandre onjunitarymatrixpolynomials AT spitkovskyilyam onjunitarymatrixpolynomials |