Matrices A such that RA = A^s+1 R when R^k = I

This paper examines matrices A is an element of C-nxn such that RA = A(s+1) R where R-k = I, the identity matrix, and where sand k are nonnegative integers with k >= 2. Spectral theory is used to characterize these matrices. The cases s = 0 and s 1 are considered separately since they are ana...

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Detalles Bibliográficos
Autores: Lebtahi Ep-Kadi-Hahifi, Leila, Stuart, J., Weaver, J.R., Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2013
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:10251/44149
Acceso en línea:https://riunet.upv.es/handle/10251/44149
Access Level:acceso abierto
Palabra clave:Potent matrix
Idempotent matrix
Spectrum
Jordan form
Involutory matrix
MATEMATICA APLICADA
Descripción
Sumario:This paper examines matrices A is an element of C-nxn such that RA = A(s+1) R where R-k = I, the identity matrix, and where sand k are nonnegative integers with k >= 2. Spectral theory is used to characterize these matrices. The cases s = 0 and s 1 are considered separately since they are analyzed by different techniques.