Combined Matrix of a Tridiagonal Toeplitz Matrix
[EN] In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory. In particular, given a real tridiagonal Toeplitz matrix of order n, the characterization of its combined matrix as a bisymmetric and doubly qu...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/223570 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/223570 |
| Access Level: | acceso abierto |
| Palabra clave: | Tridiagonal Toeplitz matrix Combined matrix Doubly quasi-stochastic matrix Jacobi matrix Linear algebra |
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| oai_identifier_str |
oai:riunet.upv.es:10251/223570 |
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ES |
| network_name_str |
España |
| spelling |
Combined Matrix of a Tridiagonal Toeplitz Matrix Cantó Colomina, Begoña|||0000-0002-9837-3926 Cantó Colomina, Rafael|||0000-0002-1341-2800 Urbano Salvador, Ana María|||0000-0001-8590-1243 Tridiagonal Toeplitz matrix Combined matrix Doubly quasi-stochastic matrix Jacobi matrix Linear algebra [EN] In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory. In particular, given a real tridiagonal Toeplitz matrix of order n, the characterization of its combined matrix as a bisymmetric and doubly quasi-stochastic matrix is studied. Furthermore, this paper addresses the inverse problem, that is, given a bisymmetric, doubly quasi-stochastic tridiagonal Jacobi matrix U of order n, determine under what conditions there exists a real tridiagonal Toeplitz matrix A such that its combined matrix is U. MDPI AG https://riunet.upv.es/handle/10251/223570 |
| title |
Combined Matrix of a Tridiagonal Toeplitz Matrix |
| spellingShingle |
Combined Matrix of a Tridiagonal Toeplitz Matrix Cantó Colomina, Begoña|||0000-0002-9837-3926 Tridiagonal Toeplitz matrix Combined matrix Doubly quasi-stochastic matrix Jacobi matrix Linear algebra |
| title_short |
Combined Matrix of a Tridiagonal Toeplitz Matrix |
| title_full |
Combined Matrix of a Tridiagonal Toeplitz Matrix |
| title_fullStr |
Combined Matrix of a Tridiagonal Toeplitz Matrix |
| title_full_unstemmed |
Combined Matrix of a Tridiagonal Toeplitz Matrix |
| title_sort |
Combined Matrix of a Tridiagonal Toeplitz Matrix |
| author |
Cantó Colomina, Begoña|||0000-0002-9837-3926 |
| author_facet |
Cantó Colomina, Begoña|||0000-0002-9837-3926 Cantó Colomina, Rafael|||0000-0002-1341-2800 Urbano Salvador, Ana María|||0000-0001-8590-1243 |
| author_role |
author |
| author2 |
Cantó Colomina, Rafael|||0000-0002-1341-2800 Urbano Salvador, Ana María|||0000-0001-8590-1243 |
| author2_role |
author author |
| topic |
Tridiagonal Toeplitz matrix Combined matrix Doubly quasi-stochastic matrix Jacobi matrix Linear algebra |
| topic_facet |
Tridiagonal Toeplitz matrix Combined matrix Doubly quasi-stochastic matrix Jacobi matrix Linear algebra |
| description |
[EN] In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory. In particular, given a real tridiagonal Toeplitz matrix of order n, the characterization of its combined matrix as a bisymmetric and doubly quasi-stochastic matrix is studied. Furthermore, this paper addresses the inverse problem, that is, given a bisymmetric, doubly quasi-stochastic tridiagonal Jacobi matrix U of order n, determine under what conditions there exists a real tridiagonal Toeplitz matrix A such that its combined matrix is U. |
| publishDate |
2025 |
| format |
article |
| url |
https://riunet.upv.es/handle/10251/223570 |
| language |
eng |
| eu_rights_str_mv |
openAccess |
| publisher |
MDPI AG |
| institution |
Universitat Politècnica de València (UPV) |
| collection |
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| reponame_str |
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| instname_str |
Universitat Politècnica de València (UPV) |
| _version_ |
1878441000230191104 |
| publishDateSort |
2025 |
| author_browse |
Cantó Colomina, Begoña|||0000-0002-9837-3926 Cantó Colomina, Rafael|||0000-0002-1341-2800 Urbano Salvador, Ana María|||0000-0001-8590-1243 |
| publisherStr |
MDPI AG |
| score |
6,9303427 |