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When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?

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When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?

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Nombre: Ilisevic, D - When ...
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dc.contributor.author Ilisevic, Dijana es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2016-01-27T11:17:54Z
dc.date.available 2016-01-27T11:17:54Z
dc.date.issued 2012
dc.identifier.issn 1537-9582
dc.identifier.uri http://hdl.handle.net/10251/60258
dc.description.abstract [EN] This paper deals with the Hermitian H(A) and skew-Hermitian part S(A) of a complex matrix A. We characterize all complex matrices A such that H(A), respectively S(A), is a potent matrix. Two approaches are used: characterizations of idempotent and tripotent Hermitian matrices of the form [ X Y* Y 0], and a singular value decomposition of A. In addition, a relation between the potency of H(A), respectively S(A), and the normality of A is also studied. es_ES
dc.description.sponsorship Supported by the Ministry of Science, Educations and Sports of the Republic of Croatia (Grant 037-0372784-2757). Supported by the Ministry of Education of Spain (Grant DGI MTM2010-18228), the Universidad Nacional de La Pampa, Argentina (Grant Resol. N. 049/11), and the Ministry of Education of Argentina (PPUA, Grant Resol. 228, SPU, 14-15-222)
dc.language Inglés es_ES
dc.publisher ILAS–the International Linear Algebra Society es_ES
dc.relation.ispartof Electronic Journal of Linear Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Hermitian part es_ES
dc.subject Skew-Hermitian part es_ES
dc.subject Potent matrix es_ES
dc.subject Normal matrix es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title When is the Hermitian/skew-Hermitian part of a matrix a potent matrix? es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.13001/1081-3810.1582
dc.relation.projectID info:eu-repo/grantAgreement/ME//PPUA%2F228/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MZOS//037-0372784-2757/HR/Mappings on modules over rings, abstract and operator algebras/
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-18228/ES/PROPIEDADES MATRICIALES CON APLICACION A LA TEORIA DE CONTROL/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNLPam//049%2F11/ es_ES
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 Ilisevic, D.; Thome, N. (2012). When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?. Electronic Journal of Linear Algebra. 24:95-112. https://doi.org/10.13001/1081-3810.1582 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.13001/1081-3810.1582
dc.description.upvformatpinicio 95 es_ES
dc.description.upvformatpfin 112 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 24 es_ES
dc.relation.senia 234890 es_ES
dc.identifier.eissn 1081-3810
dc.contributor.funder Ministerio de Educación, Argentina
dc.contributor.funder Universidad Nacional de La Pampa, Argentina
dc.contributor.funder Ministry of Science, Education and Sports, Croacia
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES


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