Some new algebraic and topological properties of the minkowski inverse in the minkowski space

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dc.authorid0000-0002-8543-5497en_US
dc.contributor.authorZekraoui, Hanifa
dc.contributor.authorAl-Zhour, Zeyad
dc.contributor.authorÖzel, Cenap
dc.date.accessioned2021-06-23T19:35:11Z
dc.date.available2021-06-23T19:35:11Z
dc.date.issued2013
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe introduce some new algebraic and topological properties of the Minkowski inverse A(circle plus) of an arbitrary matrix A is an element of M-m,M-n (including singular and rectangular) in a Minkowski space mu. Furthermore, we show that the Minkowski inverse A(circle plus) in a Minkowski space and the Moore-Penrose inverse A(+) in a Hilbert space are different in many properties such as the existence, continuity, norm, and SVD. New conditions of the Minkowski inverse are also given. These conditions are related to the existence, continuity, and reverse order law. Finally, a new representation of the Minkowski inverse A(circle plus) is also derived.en_US
dc.identifier.doi10.1155/2013/765732
dc.identifier.issn1537-744X
dc.identifier.pmid24288506en_US
dc.identifier.scopus2-s2.0-84888877361en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1155/2013/765732
dc.identifier.urihttps://hdl.handle.net/20.500.12491/7733
dc.identifier.wosWOS:000326784100001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.institutionauthorÖzel, Cenap
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofScientific World Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleSome new algebraic and topological properties of the minkowski inverse in the minkowski spaceen_US
dc.typeArticleen_US

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