Schur complement of general H-matrices

[EN] It is well known that the Schur complement of some H-matrices is an H-matrix. In this paper, the Schur complement of any general H-matrix is studied. In particular, it is proved that the Schur complement, if it exists, is an H-matrix and the class to which the Schur complement belongs is studie...

Descripción completa

Detalles Bibliográficos
Autores: Bru García, Rafael, Mas Marí, José|||0000-0002-2835-974X, Corral Ortega, Cristina, Gimenez Manglano, María Isabel
Tipo de recurso: artículo
Fecha de publicación:2009
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:10251/99731
Acceso en línea:https://riunet.upv.es/handle/10251/99731
Access Level:acceso abierto
Palabra clave:H-matrices
Schur complement
diagonal equivalence
MATEMATICA APLICADA
Descripción
Sumario:[EN] It is well known that the Schur complement of some H-matrices is an H-matrix. In this paper, the Schur complement of any general H-matrix is studied. In particular, it is proved that the Schur complement, if it exists, is an H-matrix and the class to which the Schur complement belongs is studied. In addition, results are given for singular irreducible H-matrices and for the Schur complement of nonsingular irreducible H-matrices. Copyright (C) 2009 John Wiley & Sons, Ltd.