Publicación:
On the consistency of the matrix equation X^TAX=B when B is symmetric: the case where CFC(A) include skew-symmetric blocks

Vista sencilla de ítem
dc.contributor.authorBorobia Vizmanos, Alberto
dc.contributor.authorDe Terán, Fernando
dc.contributor.authorCanogar Mckenzie, Roberto
dc.date.accessioned2024-10-02T13:22:42Z
dc.date.available2024-10-02T13:22:42Z
dc.date.issued2022-03-17
dc.description.abstractIn this paper, which is a follow-up to [A. Borobia, R. Canogar, F. De Ter´an, Mediterr. J. Math. 18, 40 (2021)], we provide a necessary and sufficient condition for the matrix equation XJAX “ B to be consistent when B is symmetric. The condition depends on the canonical form for congruence of the matrix A, and is proved to be necessary for all matrices A, and sufficient for most of them. This result improves the main one in the previous paper, since the condition is stronger than the one in that reference, and the sufficiency is guaranteed for a larger set of matrices (namely, those whose canonical form for congruence, CFC(A), includes skew-symmetric blocks).en
dc.description.versionversión final
dc.identifier.citationBorobia, A., Canogar, R. & De Terán, F. On the consistency of the matrix equation when B is symmetric: the case where CFC(A) includes skew-symmetric blocks. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 61 (2023). https://doi.org/10.1007/s13398-023-01391-0
dc.identifier.doihttps://doi.org/10.1007/s13398-023-01391-0
dc.identifier.issn1578-7303; e-ISSN 1579-1505
dc.identifier.urihttps://hdl.handle.net/20.500.14468/23868
dc.journal.issue61
dc.journal.titleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
dc.journal.volume117
dc.language.isoen
dc.publisherSpringer
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.licenseAtribución-CompartirIgual 4.0 Internacional
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsMatrix equationen
dc.subject.keywordstransposeen
dc.subject.keywordscongruenceen
dc.subject.keywordsJ-Riccati equationen
dc.subject.keywordsCanonical Form for Congruenceen
dc.subject.keywordssymmetric matrixen
dc.subject.keywordsbilinear formen
dc.titleOn the consistency of the matrix equation X^TAX=B when B is symmetric: the case where CFC(A) include skew-symmetric blockses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication6222b7d3-ae1d-411e-914a-a59610f0a254
relation.isAuthorOfPublication.latestForDiscovery6222b7d3-ae1d-411e-914a-a59610f0a254
Archivos
Bloque original
Mostrando 1 - 1 de 1
Miniatura
Nombre:
Borobia_Alberto_Consistency_Matrix_Equation.pdf
Tamaño:
389.45 KB
Formato:
Adobe Portable Document Format
Descargar
Bloque de licencias
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
license.txt
Tamaño:
3.62 KB
Formato:
Item-specific license agreed to upon submission
Descripción:
Descargar
Colecciones
Artículos y papers