On the Properties of r-Circulant Matrices Involving Generalized Fermat Numbers

Authors : Bahar Kuloǧlu, Engin Eser, Engin Özkan

Pages : 956-964

Doi:10.16984/saufenbilder.1280572

View : 175 | Download : 239

Publication Date : 2023-10-18

Article Type : Research Paper

Abstract :-circulant matrices have applied in numerical computation, signal processing, coding theory, etc. In this study, our main goal is to investigate the r-circulant matrices of generalized Fermat numbers which are shown by We obtain the eigenvalues, determinants, sum identity of matrices. Also we find upper and lower bounds for the spectral norms of generalized Fermat r-circulant matrices. Beside these, we present 〖GR〗_(a,b,r)^* matrix in the form of the Hadamard product of two matrices as 〖GR〗_(a,b,r)^*=A.B. In addition, we get the right and skew-right circulant matrices for . Finally, we examine their different norms (Spectral and Euclidean) and limits for matrix norms.
Keywords : Fermat number, generalized Fermat numbers, norm spectral and Euclidean, eigenvalues, circulant matrices