The inverse and the Moore-Penrose inverse of a k-circulant matrix with binomial coefficients
The inverse and the Moore-Penrose inverse of a k-circulant matrix with binomial coefficients
Autori:
Časopis: Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume, no: 27 , 1
ISSN: 1370-1444
Stranice: 29-42
Apstrakt:
Let k be a non-zero complex number. In this paper, we consider a k-circulant matrix with binomial coefficients. The inverse of such invertible matrix is determined. We also obtain the Moore-Penrose inverse (and the group inverse) of such singular matrix. The obtained results are illustrated by examples at the end of this paper.
Ključne reči: k-circulant matrix; binomial coefficients; group inverse of a matrix; inverse of a matrix; Moore-Penrose inverse of a matrix
Kategorije objave:
Bibliografske reference nastavnika Univerziteta Singidunum
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