B. Mourad

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math.FA2021

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 $\lor^{k} A$ be the $k$ -th symmetric tensor power of $A \in M_{n} (C)$ . In \cite{IAM}, we have expressed the normalized trace of $\lor^{k} A$ as an integral of the $k$ -th power…

math.FA2021

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…