Rachid Marsli

collaborators

3 papers

math.CO2020

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…

math.CO2019

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…

math.GM2019

On the prime decomposition of integers of the form $(z^{n} - y^{n}) / (z - y)$

Rachid Marsli

In this work, the author shows a sufficient and necessary condition for an integer of the form $(z n - y^{n}) / (z - y)$ to be divisible by some perfect $m t h$ power $p$ , where $p$ is an odd…

Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair

Some properties of ergodicity coefficients with applications in spectral graph theory

On the prime decomposition of integers of the form (zn−yn)/(z−y)

On the prime decomposition of integers of the form $(z^{n} - y^{n}) / (z - y)$