International Journal of Nonlinear Analysis and Applications

On the properties of r-circulant matrices involving Mersenne and Fermat numbers

Document Type : Research Paper

Authors

1 Department of Mathematics, Central University of Jharkhand, Ranchi, India

2 Department of Mathematics, Babasaheb Bhimrao Ambedkar University, India

3 Department of Mathematics, Erzincan Binali Yıldırım University, Turkey

Abstract

The aim of this study is to investigate r-circulant matrices containing Mersenne and Fermat numbers with arithmetic indices. We obtain the eigenvalues and determinants of these matrices implicitly. In addition, limits for matrix norms and spectral norms of these matrices are obtained. Thus, the results for right and skew-right circulant matrices appear immediately.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 5
May 2023
Pages 121-131
  • Receive Date: 21 July 2022
  • Revise Date: 22 February 2023
  • Accept Date: 03 March 2023