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may 2020 The inverse and the Moore-Penrose inverse of a $k$-circulant matrix with binomial coefficients
Biljana Radičić
Bull. Belg. Math. Soc. Simon Stevin 27(1): 29-42 (may 2020). DOI: 10.36045/bbms/1590199301

Abstract

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.

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Biljana Radičić. "The inverse and the Moore-Penrose inverse of a $k$-circulant matrix with binomial coefficients." Bull. Belg. Math. Soc. Simon Stevin 27 (1) 29 - 42, may 2020. https://doi.org/10.36045/bbms/1590199301

Information

Published: may 2020
First available in Project Euclid: 23 May 2020

zbMATH: 07213655
MathSciNet: MR4102698
Digital Object Identifier: 10.36045/bbms/1590199301

Subjects:
Primary: 15B05
Secondary: 11B65, ‎15A09

Rights: Copyright © 2020 The Belgian Mathematical Society

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Vol.27 • No. 1 • may 2020
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