Abstract: In a previous paper, we completely described cyclotomic matrices—integer symmetric matrices of spectral radius at most 2. In this paper, we find all minimal noncyclotomic matrices. As a ...

Abstract: Upper and lower bounds for spectral radius of positive matrices are derived, and are shown to be tight. These bounds are characterized by the determinant and trace of some related matrix, ...

1 Departments of Mathematics, Faculty of Sciences, Gazi University, Ankara, Turkey. 2 Department of Mathematics Education, Hakkari University, Hakkari, Turkey. A weighted graph is a graph that has a ...

This is a preview. Log in through your library . Abstract Consider a square matrix with independent and identically distributed entries of zero mean and unit variance. It is well known that if the ...

The eigenvalue spectrum of a class of nonsymmetric preconditioned matrices arising in time-dependent partial differential equations is analyzed and discussed. The matrices generated by the underlying ...