On the solutions of the quaternion interval systems [x] = [A][x] plus [b]

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dc.contributor.authorBolat, Cennet
dc.contributor.authorIpek, Ahmet
dc.date.accessioned2024-09-18T20:28:01Z
dc.date.available2024-09-18T20:28:01Z
dc.date.issued2014
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractIt is known that linear matrix equations have been one of the main topics in matrix theory and its applications. The primary work in the investigation of a matrix equation (system) is to give solvability conditions and general solutions to the equation(s). In the present paper, for the quaternion interval system of the equations defined by [x] = [A][x] + [b], where [A] is a quaternion interval matrix and [b] and [x] are quaternion interval vectors, we derive a necessary and sufficient criterion for the existence of solutions [x]. Thus, we reduce the existence of a solution of this system in quaternion interval arithmetic to the existence of a solution of a system in real interval arithmetic. (C) 2014 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2014.06.106
dc.identifier.endpage381en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-84905058229en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage375en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2014.06.106
dc.identifier.urihttps://hdl.handle.net/20.500.12483/10686
dc.identifier.volume244en_US
dc.identifier.wosWOS:000342265700032en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectIntervalsen_US
dc.subjectQuaternionsen_US
dc.subjectThe systems of equationsen_US
dc.titleOn the solutions of the quaternion interval systems [x] = [A][x] plus [b]en_US
dc.typeArticleen_US

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