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On the spectra of some combinations of two generalized quadratic matrices

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On the spectra of some combinations of two generalized quadratic matrices

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dc.contributor.author Petik, Tugba es_ES
dc.contributor.author OZDEMIR, Halim es_ES
dc.contributor.author Benítez López, Julio es_ES
dc.date.accessioned 2016-05-09T10:06:59Z
dc.date.available 2016-05-09T10:06:59Z
dc.date.issued 2015-10
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/10251/63775
dc.description.abstract [en] Let A and B be two generalized quadratic matrices with respect to idempotent matrices P and Q, respectively, such that (A − αP)(A − βP) = 0, AP = PA = A, (B − γ Q)(B − δQ) = 0, BQ = QB = B, PQ = QP, AB = BA, and (A + B)(αβP − γδQ) = (αβP − γδQ)(A + B) with α,β, γ , δ ∈ C. Let A + B be diagonalizable. The relations between the spectrum of the matrix A + B and the spectra of some matrices produced from A and B are considered. Moreover, some results on the spectrum of the matrix A + B are obtained when A + B is not diagonalizable. Finally, some results and examples illustrating the applications of the results in the work are given. © 2015 Elsevier Inc. All rights reserved. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Applied Mathematics and Computation es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Quadratic matrix es_ES
dc.subject Generalized quadratic matrix es_ES
dc.subject Idempotent matrix es_ES
dc.subject Spectrum es_ES
dc.subject Linear combination es_ES
dc.subject Diagonalization es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the spectra of some combinations of two generalized quadratic matrices es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2015.06.093
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Petik, T.; Ozdemir, H.; Benítez López, J. (2015). On the spectra of some combinations of two generalized quadratic matrices. Applied Mathematics and Computation. 978-990. doi:10.1016/j.amc.2015.06.093 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.amc.2015.06.093 es_ES
dc.description.upvformatpinicio 978 es_ES
dc.description.upvformatpfin 990 es_ES
dc.type.version info:eu repo/semantics/publishedVersion es_ES
dc.relation.senia 292746 es_ES
dc.identifier.eissn 1873-5649


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