2 citations · 4 across the 13 of their papers we have counts for
13 papers
Negative index, matchings, and nonnegative eigenvalues of tridiagonal stochastic matrices
Bassam Mourad, Issam Kaddoura, Hassan Issa
We study negative eigenvalues of stochastic matrices whose off-diagonal support is constrained by a sparse graph. The main tool is a matching-based inertia principle: i…
Jet Schemes, Newton Polygons and Continued Fractions
Ghadi Abdallah, Maximiliano Leyton-Álvarez, Bassam Mourad +1
We study jet schemes of Newton non-degenerate plane curve singularities. We identify a subgraph of the graph of jet components and show that it can be constructed from walks on the…
On a special class of block matrices and some applications
Issam Kaddoura, Bassam Mourad
In this paper, we study a particular class of block matrices placing an emphasis on their spectral properties. Some related applications are then presented.
On a numerical construction of doubly stochastic matrices with prescribed eigenvalues
Kassem Rammal, Bassam Mourad, Hassan Abbas +1
We study the inverse eigenvalue problem for finding doubly stochastic matrices with specified eigenvalues. By making use of a combination of Dykstra's algorithm and an alternating…
New applications to combinatorics and invariant matrix norms of an integral representation of natural powers of the numerical values
H. A. Issa, B. Mourad, H. Abbass
Let be the -th symmetric tensor power of . In \cite{IAM}, we have expressed the normalized trace of as an integral of the -th power…
On an integral representation of the normalized trace of the -th symmetric tensor power of matrices and some applications
Hassan Issa, Hassan Abbas, Bassam Mourad
Let be an matrix and let be its -th symmetric tensor product. We express the normalized trace of as an integral of the -th powers of the…
New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality
Mohammad M. Ghabries, Hassane Abbas, Bassam Mourad +1
The purpose of this paper is to establish new log-majorization results concerning eigenvalues and singular values which generalize some previous work related to a conjecture and an…
On an infinite number of solutions to the Diophantine equation over the square integer matrices
I. Kaddoura, B. Mourad
In this paper, we use some extension of the Cayley-Hamilton theorem to find a family of matrices with integer entries that satisfy the non-linear Diophantine equation $ x^{n}+y^{p}…
On a new closed formula for the solution of second order linear difference equations and applications
Issam Kaddoura, Bassam Mourad
In this note, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory. This, in…
On the symmetric doubly stochastic matrices that are determined by their spectra
Bassam Mourad, Hassan Abbas
A symmetric doubly stochastic matrix A is said to be determined by its spectra if the only symmetric doubly stochastic matrices that are similar to A are of the form for so…
On The Doubly Stochastic Realization Of Spectra
Kassem Rammal, Bassam Mourad, Hassane Abbas +1
An -list of complex numbers with is said to be realizable if is the spectrum of nonnegative matrix and in this c…
Generalization of some results concerning eigenvalues of a certain class of matrices and some applications
Bassam Mourad
In this note, we present a generalization of some results concerning the spectral properties of a certain class of block matrices. As applications, we study some of its implication…
An algorithm for constructing doubly stochastic matrices for the inverse eigenvalue problem
Bassam Mourad, Hassan Abbas, Ayman Mourad +2
In this note, we present an algorithm that yields many new methods for constructing doubly stochastic and symmetric doubly stochastic matrices for the inverse eigenvalue problem. I…