GENERALIZED MATRIX MULTIPLICATION AND ITS SOME APPLICATION

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dc.contributor.authorKecilioglu, Osman
dc.contributor.authorGundogan, Halit
dc.date.accessioned2025-01-21T16:41:17Z
dc.date.available2025-01-21T16:41:17Z
dc.date.issued2017
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, a generalized matrix multiplication is defined in R-m,R-n x R-n,R-p by using any scalar product in R-n, where R-m,R-n denotes set of matrices of m rows and n columns. With this multiplication it has been shown that R-n,R-n is an algebra with unit. By considering this new multiplication we define eigenvalues and eigenvectors of square n x n matrix A. A special case is considered and generalized diagonalization is also introduced.
dc.identifier.doi10.22190/FUMI1705789K
dc.identifier.endpage798
dc.identifier.issn0352-9665
dc.identifier.issn2406-047X
dc.identifier.issue5
dc.identifier.startpage789
dc.identifier.urihttps://doi.org/10.22190/FUMI1705789K
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24859
dc.identifier.volume32
dc.identifier.wosWOS:000424465300013
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherUniv Nis
dc.relation.ispartofFacta Universitatis-Series Mathematics and Informatics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectGeneralized matrix multiplication; inner product; eigenvector; eigenvalue
dc.titleGENERALIZED MATRIX MULTIPLICATION AND ITS SOME APPLICATION
dc.typeArticle

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