- -

Partial orders based on the CS decomposition

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Partial orders based on the CS decomposition

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Xu, S. Z. es_ES
dc.contributor.author Chen, J. L. es_ES
dc.contributor.author Benítez López, Julio es_ES
dc.date.accessioned 2022-01-30T19:07:05Z
dc.date.available 2022-01-30T19:07:05Z
dc.date.issued 2021-01 es_ES
dc.identifier.issn 0041-5995 es_ES
dc.identifier.uri http://hdl.handle.net/10251/180377
dc.description.abstract [EN] A new decomposition for square matrices is constructed by using two known matrix decompositions. A new characterization of the core-EP order is obtained by using this new matrix decomposition. We also use this matrix decomposition to investigate the minus, star, sharp and core partial orders in the setting of complex matrices. es_ES
dc.description.sponsorship The present research is supported by the National Natural Science Foundation of China (No. 11771076). The first author is supported by the National Science Foundation of Jiangsu, Province of China (No. BK20191047) and the National Science Foundation of Jiangsu Education Committee (No. 19KJB110005). es_ES
dc.language Inglés es_ES
dc.publisher Springer es_ES
dc.relation.ispartof Ukrainian Mathematical Journal es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Partial orders based on the CS decomposition es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11253-020-01851-5 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11771076/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Natural Science Foundation of Jiangsu Province//19KJB110005/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Natural Science Foundation of Jiangsu Province//BK20191047/ 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 Xu, SZ.; Chen, JL.; Benítez López, J. (2021). Partial orders based on the CS decomposition. Ukrainian Mathematical Journal. 72(8):1294-1313. https://doi.org/10.1007/s11253-020-01851-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11253-020-01851-5 es_ES
dc.description.upvformatpinicio 1294 es_ES
dc.description.upvformatpfin 1313 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 72 es_ES
dc.description.issue 8 es_ES
dc.relation.pasarela S\418654 es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder Natural Science Foundation of Jiangsu Province es_ES
dc.description.references J. Benítez, “A new decomposition for square matrices,” Electron. J. Linear Algebra, 20, 207–225 (2010). es_ES
dc.description.references J. Benítez and X. J. Liu, “A short proof of a matrix decomposition with applications,” Linear Algebra Appl., 438, 1398–1414 (2013). es_ES
dc.description.references J. K. Baksalary and S. K. Mitra, “Left-star and right-star partial orderings,” Linear Algebra Appl., 149, 73–89 (1991). es_ES
dc.description.references O. M. Baksalary and G. Trenkler, “Core inverse of matrices,” Linear Multilinear Algebra, 58, No. 6, 681–697 (2010). es_ES
dc.description.references R. E. Cline and R. E. Funderlic, “The rank of a difference of matrices and associated generalized inverses,” Linear Algebra Appl., 24, 185–215 (1979). es_ES
dc.description.references H. B. Chen and Y. J. Wang, “A family of higher-order convergent iterative methods for computing the Moore–Penrose inverse,” Appl. Math. Comput., 218, 4012–4016 (2011). es_ES
dc.description.references M. P. Drazin, “Natural structures on semigroups with involution,” Bull. Amer. Math. Soc. (N.S.), 84, No. 1, 139–141 (1978). es_ES
dc.description.references R. E. Hartwig, “How to order regular elements?,” Math. Jap., 25, 1–13 (1980). es_ES
dc.description.references R. E. Hartwig and K. Spindelböck, “Matrices for which A* and A† commute,” Linear Multilinear Algebra, 14, 241–256 (1984). es_ES
dc.description.references R. E. Hartwig and J. Shoaf, “Group inverses and Drazin inverses of bidiagonal and triangular Toeplitz matrices,” J. Austral. Math. Soc., Ser. A, 24, 10–34 (1977). es_ES
dc.description.references L. Lebtahi, P. Patrício, and N. Thome, “The diamond partial order in rings,” Linear Multilinear Algebra, 62, No. 3, 386–395 (2013). es_ES
dc.description.references S. K. Mitra, “On group inverses and the sharp order,” Linear Algebra Appl., 92, 17–37 (1987). es_ES
dc.description.references S. B. Malik, “Some more properties of core partial order,” Appl. Math. Comput., 221, 192–201 (2013). es_ES
dc.description.references K. M. Prasad and K. S. Mohana, “Core-EP inverse,” Linear Multilinear Algebra, 62, No. 6, 792–802 (2014). es_ES
dc.description.references G. Marsaglia and G. P. H. Styan, “Equalities and inequalities for ranks of matrices,” Linear Multilinear Algebra, 2, 269–292 (1974). es_ES
dc.description.references D. S. Rakić and D. S. Djordjević, “Star, sharp, core, and dual core partial order in rings with involution,” Appl. Math. Comput., 259, 800–818 (2015). es_ES
dc.description.references H. X. Wang, “Core-EP decomposition and its applications,” Linear Algebra Appl., 508, 289–300 (2016). es_ES
dc.description.references H. K. Wimmer, “Canonical angles of unitary spaces and perturbations of direct complements,” Linear Algebra Appl., 287, 373–379 (1999). es_ES
dc.description.references S. Z. Xu, J. L. Chen, and X. X. Zhang, “New characterizations for core inverses in rings with involution,” Front. Math. China, 12, No. 1, 231–246 (2017). es_ES
dc.description.references X. X. Zhang, S. Z. Xu, and J. L. Chen, “Core partial order in rings with involution,” Filomat, 31, No. 18, 5695–5701 (2017). es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem