On the norms of r-circulant matrices with generalized Fibonacci numbers

Year 2017, Volume: 4 Issue: 1, 13 - 21, 11.01.2017

Amara Chandoul

https://doi.org/10.13069/jacodesmath.12813

Cited By: 1

Abstract

In this paper, we obtain a generalization of [6, 8]. Firstly, we consider the so-called r-circulant matrices
with generalized Fibonacci numbers and then found lower and upper bounds for the Euclidean
and spectral norms of these matrices. Afterwards, we present some bounds for the spectral norms of
Hadamard and Kronecker product of these matrices.

Keywords

Matrix norm, r-circulant matrices, Generalized Fibonacci numbers

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