GENERALIZED MATRIX MULTIPLICATION AND ITS SOME APPLICATION
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Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Generalized matrix multiplication; inner product; eigenvector; eigenvalue
Kaynak
Facta Universitatis-Series Mathematics and Informatics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
32
Sayı
5
