14 citations · 18 across the 10 of their papers we have counts for
10 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…
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 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…
New Formulas for Semi-Primes. Testing, Counting and Identification of the and next Semi-Primes
Issam Kaddoura, Samih Abdul-Nabi, Khadija Al-Akhrass
In this paper we give a new semiprimality test and we construct a new formula for , the function that counts the number of semiprimes not exceeding a given number .…
A Triangle Analog to Pascal's characterizing primes
Issam Kaddoura, Marwa Zeid
In the conference paper we construct analouge to Pascal's triangle that characterize primes with additional fascinating properties.
Construction of semi-free S3 actions on homotopy sphere with untwisted fixed point set
I. H. Kaddoura
William Browder in his paper "Surgery and the theory of differentiable transformation groups" developed surgery techniques to study semi-free actions of S1 on homotopy spheres, und…
De-suspension of free S3 - actions on Homotopy Spheres
Issam Kaddoura
In the paper of Montgomery, D. and Yang, C.T. [5], they discuss the de-suspension of smooth free actions of S1 on (2n+1)-dimensional homotopy spheres. In this paper we discuss the…
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…
On formula to compute primes and the nth prime
Issam Kaddoura, Samih Abdul-Nabi
In this paper, we propose a new primality test, and then we employ this test to find a formula for π that computes the number of primes within any interval. We finally propose a ne…