Weak matrix majorization

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Given X,Y∈Rn×m we introduce the following notion of matrix majorization, called weak matrix majorization,X≻wYifthereexistsarow- stochasticmatrixA∈Rn×nsuchthatAX=Y,and consider the relations between this concept, strong majorization (≻s) and directional majorization (≻). It is verified that ≻s ⇒ ≻ ⇒...

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Detalles Bibliográficos
Autores principales: Martínez Pería, Francisco Dardo, Massey, Pedro Gustavo, Silvestre, Luis E.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2005
Materias:
Matemática
Convex sets and functions
Multivariate and directional matrix majorizations
Mutually commuting selfadjoint matrices
Row stochastic matrices
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83248
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata

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