Norms of Circulant and Semicirculant Matrices With Horadam’s Numbers

E.Gokcen Kocer1, Toufik Mansour2, Naim Tuglu3
1Faculty of Education, University of Selcuk, 42099 Meram-Konya, Turkey
2Department of Mathematics, University of Haifa, 31905 Haifa, Israel
3Department of Mathematics, University of Gazi, 06500 Teknikokullar-Ankara, Turkey

Abstract

In this paper, we obtain the spectral norm and eigenvalues of circulant matrices with Horadam’s numbers. Furthermore, we define the semicirculant matrix with these numbers and give the Euclidean norm of this matrix.