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Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C

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Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C

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dc.contributor.author Herrero Debón, Alicia es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2015-07-02T08:28:32Z
dc.date.available 2015-07-02T08:28:32Z
dc.date.issued 2011-07
dc.identifier.issn 0893-9659
dc.identifier.issn 1873-5452
dc.identifier.uri http://hdl.handle.net/10251/52621
dc.description.abstract The generalized singular value decomposition (GSVD) and the lifting technique combined with the Kronecker product are exploited to find reflexive and anti-reflexive (with respect to a generalized k+1-reflection matrix P) solutions of the matrix equation AXB=C. The computational cost of the presented algorithm is studied and several numerical examples are presented. © 2011 Elsevier Ltd. All rights reserved. es_ES
dc.description.sponsorship The authors are very grateful to Professor Rafael Bru for his valuable suggestions and to one of the referees for providing Ref. [7] We also thank the three referees for their valuable comments which allowed us to improve the paper. This paper has been partially supported by the DGI project with number MTM2010-18228 and by grant Universidad Politecnica de Valencia, PAID-06-09, Ref.: 2659. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Applied Mathematics Letters es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Matrix equation es_ES
dc.subject Potent matrix es_ES
dc.subject Reflexive solution es_ES
dc.subject Computational costs es_ES
dc.subject Generalized singular value decomposition es_ES
dc.subject Kronecker product es_ES
dc.subject Lifting techniques es_ES
dc.subject Matrix equations es_ES
dc.subject Numerical example es_ES
dc.subject Reflection matrix es_ES
dc.subject Singular value decomposition es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.aml.2011.01.039
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/UPV//PAID-06-09-2659/ 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 Herrero Debón, A.; Thome, N. (2011). Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C. Applied Mathematics Letters. 24(7):1130-1141. https://doi.org/10.1016/j.aml.2011.01.039 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.aml.2011.01.039 es_ES
dc.description.upvformatpinicio 1130 es_ES
dc.description.upvformatpfin 1141 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 24 es_ES
dc.description.issue 7 es_ES
dc.relation.senia 193757
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES


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