4 papers
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}…