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The spectrum of matrices depending on two idempotents

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Liu, X.; Benítez López, J. (2011). The spectrum of matrices depending on two idempotents. Applied Mathematics Letters. 24(10):1640-1646. doi:10.1016/j.aml.2011.04.004

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Title: The spectrum of matrices depending on two idempotents
Author: Liu, Xiaoji Benítez López, Julio
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Let P and Q be two complex matrices satisfying P2=P and Q 2=Q. For a,b nonzero complex numbers such that aP+bQ is diagonalizable, we relate the spectrum of aP+bQ to the spectra of P-Q, PQ, PQP and PQ-QP. © 2011 Elsevier ...[+]
Subjects: Idempotent matrix , Spectrum , Complex matrices , Complex number , Idempotents
Copyrigths: Cerrado
Applied Mathematics Letters. (issn: 0893-9659 ) (eissn: 1873-5452 )
DOI: 10.1016/j.aml.2011.04.004
Publisher version: http://dx.doi.org/10.1016/j.aml.2011.04.004
Project ID:
Spanish Project [MTM2010-18539]
We would like to thank the referees for their careful reading and their comments on the manuscript. The second author was supported by the Spanish Project MTM2010-18539.
Type: Artículo

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