4 papers
An application of Gelfand's formula in approximating the roots of polynomials
Frank J. Hall, Rachid M. Marsli
The purpose of this paper is to show how Gelfand's formula and balancing can be used to improve the upper and lower bounds of the spectrum of a companion matrix associated with a g…
Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair
Rachid Marsli, Frank J. Hall
Let (λ, v) be a known real eigenpair of a square real matrix A. In this paper it is shown how to locate the other eigenvalues of A in terms of the components of v. The obtained reg…
Some properties of ergodicity coefficients with applications in spectral graph theory
Rachid Marsli, Frank J. Hall
The main result is Corollary 2.9 which provides upper bounds on, and even better, approximates the largest non-trivial eigenvalue in absolute value of real constant row-sum matrice…
On the prime decomposition of integers of the form
Rachid Marsli
In this work, the author shows a sufficient and necessary condition for an integer of the form to be divisible by some perfect power , where is an odd…