GENERALIZED MATRIX MULTIPLICATION AND ITS SOME APPLICATION

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Tarih

2017

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

Künye