Tridiagonal M-matrices whose group inverses are tridiagonal
Recently, a characterization was obtained for a nonsingular M-matrix, to have a tridiagonal inverse. In a related work, the explicit sign pattern for this kind of matrices was also discovered. In this paper, we extend these results to singular M-matrices that are group invertible. Further, we obtain...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/426566 |
| Acceso en línea: | https://hdl.handle.net/2117/426566 https://dx.doi.org/10.1016/j.laa.2024.11.026 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebras, Linear Multilinear algebra Matrices M-matrices Tridiagonal matrix Group inverse Moore Penrose inverse Àlgebra lineal Àlgebra multilineal Matrius (Àlgebra) Classificació AMS::15 Linear and multilinear algebra matrix theory Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal |
| Sumario: | Recently, a characterization was obtained for a nonsingular M-matrix, to have a tridiagonal inverse. In a related work, the explicit sign pattern for this kind of matrices was also discovered. In this paper, we extend these results to singular M-matrices that are group invertible. Further, we obtain the precise sign pattern for such matrices. Our techniques and reasoning work for both singular and nonsingular matrices, thereby providing a unified framework to treat such classes of matrices. |
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