The inverse and the Moore-Penrose inverse of a k-circulant matrix with binomial coefficients

Časopis: Bulletin of the Belgian Mathematical Society - Simon Stevin

Volume, no: 27 , 1

ISSN: 1370-1444

DOI: 10.36045/bbms/1590199301

Stranice: 29-42

Link: https://doi.org/10.36045/bbms/1590199301

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