A characterization of minimal Hermitian matrices
We describe properties of a Hermitian matrix M ∈ Mn(C) having minimal quotient norm in the following sense: M M + D for all real diagonal matrices D ∈ Mn(C). Here denotes the operator norm. We show a constructive method to obtain all the minimal matrices of any size.
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/17755 |
| Acceso en línea: | http://hdl.handle.net/11336/17755 |
| Access Level: | acceso abierto |
| Palabra clave: | Minimal Hermitian Matrix Diagonal Matrix Quotient Operator Norm Best Approximation https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We describe properties of a Hermitian matrix M ∈ Mn(C) having minimal quotient norm in the following sense: M M + D for all real diagonal matrices D ∈ Mn(C). Here denotes the operator norm. We show a constructive method to obtain all the minimal matrices of any size. |
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