On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
A well-known result for a singular irreducible M-matrix A is that the only nonnegative vector that belongs to the range space of A is the zero vector. In this paper, we prove an analogue of this result for the Lyapunov and Stein transformations, which act on the inner product space of real symmetric...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/409552 |
| Acesso em linha: | https://hdl.handle.net/2117/409552 https://dx.doi.org/10.1080/03081087.2024.2313633 |
| Access Level: | acceso abierto |
| Palavra-chave: | Algebras, Linear Multilinear algebra Matrices M-matrix singular irreducible M-matrix almost monotonicity Lyapunov operator Stein operator 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 |
| Resumo: | A well-known result for a singular irreducible M-matrix A is that the only nonnegative vector that belongs to the range space of A is the zero vector. In this paper, we prove an analogue of this result for the Lyapunov and Stein transformations, which act on the inner product space of real symmetric matrices. |
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