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

نویسندگان

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

2 Department of Mathematics, Babasaheb Bhimrao Ambedkar University, India

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

4 Department of Mathematics, Erzincan Binali Yıldırım University, Turkey

doi
10.22075/ijnaa.2023.27875.3742
چکیده

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.