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Positions

Teaching
**7 Taught Courses**

(2017-2018) MDIS 510 - Nonnegative Matrices with Applications

M2 Algebra and Discrete Mathematics

(2017-2018) MDIS 580 - Research internshipM2 Algebra and Discrete Mathematics

(2017-2018) MDIS 580 - Research internshipM2 Algebra and Discrete Mathematics

(2015-2016) Math 304 - Numerical Analysis IBS Mathematics

(2014-2015) Math 409 - Graph theoryM1 Mathematics

(2014-2015) Math 205 - Sequences and Series of Functions, Fourier SeriesBS Mathematics

(2014-2015) Math 304 - Numerical Analysis IBS Mathematics

Education

1994 - 1998: PhD
1992 - 1994: Graduate Diploma in Science

School of mathematics, University of New South Wales

Mathematics

School of Mathematics, The University of Sydney

Mathematics

ResearchInterests

Publications
**19 publications**

R. Nader, B. Mourad, A. Bretto, H. Abbas. A note on the real inverse spectral problem for doubly stochastic matrices Elsevier, Linear Algebra and its Applications 2019
M. Badaoui, A. Bretto, B. Mourad On a relationship between Cayley graphs and G-graphs with some applications Elsevier, Linear Algebra and Its Applications 2019
I. Kaddoura, B. Mourad On a class of matrices generated by certain generalized permutation matrices and applications Linear And Multilinear Algebra, Taylor & Francis, 2018
R. Nader, A. Bretto, B. Mourad, H. Abbas On the positive semi-definite property of similarity matrices Theoretical Computer Science, Elsevier 2018
M. Badaoui, A. Bretto, D. Ellison, B Mourad On constructing expander families of G-graphs ARS MATHEMATICA CONTEMPORANEA 2018
Issam Kaddoura, Bassam Mourad, On a new improved unifying closed formula for all Fibonacci-type sequences and some applications Journal of Number Theory, Elsevier 2017
Bassam Mourad, Hassan Abbas, On the symmetric doubly stochastic matrices that are determined by their spectra and their connection with spectral graph theory, Linear And Multilinear Algebra, Taylor & Francis, 2015
Bassam Mourad, Hassan Abbas & Mohammad Sal Moslehian, A note on the inverse spectral problem for symmetric doubly stochastic matrices, Linear And Multilinear Algebra, Taylor and Francis, 2015
Hassan Abbas, Bassam Mourad, A family of refinements of Heinz inequalities of matrices, Journal of Inequalities and Applications, 2014:267, 2014
Mojtaba Bakherad, Hassane Abbas, Bassam Mourad, Mohammad Sal Moslehian, Operator P-class functions, Journal of Inequalities and Applications, 2014:451, 2014
Bassam Mourad, Hassan Abbas, Ayman Mourad, Ahmad Ghaddar, Issam Kaddoura, An algorithm for constructing doubly stochastic matrices for the inverse eigenvalue problem, Linear Algebra and its Applications 09/2013; Volume 439 (Issue 5):Page 1382–1400, 2013
Bassam Mourad, Generalization of some results concerning eigenvalues of a certain class of matrices and some applications, Linear and Multilinear Algebra 01/2013; Volume 61(Issue 9):page 1234-1243, 2013
Bassam Mourad, On a spectral property of doubly stochastic matrices and its application to their inverse eigenvalue problem, Linear Algebra and its Applications 05/2012; volume 436(issue 9):page 3400-3412, 2012
Issam Kaddoura, Bassam Mourad, A Note on a Generalization of an Extension of the Cayley-Hamilton Theorem, Hikari, 2008
Issam Kaddoura, Bassam Mourad, On a Conjecture Concerning the Inverse Eigenvalue Problem of 4 × 4 Symmetric Doubly Stochastic Matrices, Hikari, 2008
Bassam Mourad, A note on the boundary of the set where the decreasingly ordered spectra of symmetric doubly stochastic matrices lie, Linear Algebra and Its Applications, 416, 546-556, 2006
Bassam Mourad, On a Lie–theoretic approach to generalized doubly stochastic matrices and applications, Linear and Multilinear Algebra, 52:2, 99-113, 2004
Bassam Mourad, An inverse problem for symmetric doubly stochastic matrices, Inverse Problems 19, 821-831, 2003
Journals refereed for

Supervision
**6 Supervised Students**

Inverse eigenvalue problem for nonnegative circulant matrices and some applications to circulant graphs

Rafic nabil Nader

Master M2 Thesis: Discrete Mathematics and Algebra in *2015*

Samar Mostafa Zayat

Master M2 Thesis: Discrete Mathematics and Algebra in *2015*

Missane Mohammad MOUSSA

Master M2 Thesis: Discrete Mathematics and Algebra in *2016*

Kassem Hassan Rammal

Master M2 Thesis: Discrete Mathematics and Algebra in *2016*

PhD student: Mohammad Badaoui

Similarities and doubly stochastic matricesPhD student: Rafic Nader