2 papers
math.PR2026
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…
math.NT2018
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}…