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: In this paper, we determine some new bounds for the spectral radius of a nonnegative matrix with respect to the upper and the lower bounds for the spectral radius given by Frobenius' bounds, ...

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 ...