Publication:
The solution of the equation AX+BX*=0

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorTerán Vergara, Fernando de
dc.date.accessioned2015-12-11T12:51:05Z
dc.date.available2015-12-11T12:51:05Z
dc.date.issued2013-12-01
dc.description.abstractWe give a complete solution of the matrix equation AX+BX=0, where A, B ∈ C^mxn are two given matrices, X ∈ C^mxn is an unknown matrix, and denotes the transpose or the conjugate transpose. We provide a closed formula for the dimension of the solution space of the equation in terms of the Kronecker canonical form of the matrix pencil A+B, and we also provide an expression for the solution X in terms of this canonical form, together with two invertible matrices leading A+B to the canonical form by strict equivalence.en
dc.description.sponsorshipThis work was partially supported by the Ministerio de Ciencia e Innovación of Spain through grant MTM-2009-09281en
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationLinear and Multilinear Algebra 61 (2013) 12, pp.1605-1628en
dc.identifier.doi10.1080/03081087.2012.750656
dc.identifier.issn0308-1087
dc.identifier.publicationfirstpage1605
dc.identifier.publicationissue12
dc.identifier.publicationlastpage1628
dc.identifier.publicationtitleLinear and Multilinear Algebraen
dc.identifier.publicationvolume61
dc.identifier.urihttps://hdl.handle.net/10016/22087
dc.identifier.uxxiAR/0000014275
dc.language.isoeng
dc.publisherTaylor & Francisen
dc.relation.projectIDGobierno de Epaña. MTM-2009-09281es
dc.relation.projectIDGobierno de España. MTM-2012-32542es
dc.relation.publisherversionhttp://dx.doi.org/10.1080/03081087.2012.750656
dc.rights© 2013 Taylor & Francisen
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherMatrix equationsen
dc.subject.otherMatrix pencilsen
dc.subject.otherKronecker canonical formen
dc.subject.otherTransposeen
dc.subject.otherConjugate transpose Sylvester equationen
dc.titleThe solution of the equation AX+BX*=0en
dc.typeresearch article*
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
solution_LMA_2013_ps.pdf
Size:
466.59 KB
Format:
Adobe Portable Document Format
Download
Collections
DM - GISC - Artículos de Revistas