Department of Mathematics
College of Arts and Sciences
Drexel University

3141 Chestnut Street
Philadelphia, PA 19104-2816, USA

Abed Elhashash

257 Korman Center
Phone +1 215 895 2680
Fax +1 215 895 1582
aae36@drexel.edu

 

Currently Teaching:

Math 121 (Calculus I) Main Webpage--Winter Quarter 2010


Education

Ph.D. -- 2008 -- Mathematics, Temple University - Philadelphia, PA, USA.
M.A. -- 2004 -- Mathematics, Temple University - Philadelphia, PA, USA.
B.A. -- 1998 -- Mathematics, The American University of Beirut - Beirut, Lebanon.


Research Interests

My speciality is matrix theory and my research interests include: Generalizations of Nonnegative Matrices, Perron-Frobenius Theory Generalizations and Extensions to Cones in Hilbert and Banach Spaces, Generalizations of M-Matrices, and ODE's on submanifolds of the Euclidean space.


Research Papers:

Abed Elhashash and Daniel B. Szyld, Matrix Functions Preserving Sets of Generalized Nonnegative Matrices, Research Report 09-09-22, Department of Mathematics, Drexel University, September 2009. Submitted.

Abed Elhashash, Uriel G. Rothblum, and Daniel B. Szyld, Paths of matrices with the strong Perron-Frobenius property converging to a given matrix with the Perron-Frobenius property, Electronic Journal of Linear Algebra, vol. 19 (2009) pp. 90-97.

A. Berman, M. Catral, L. M. Dealba, A. Elhashash, F. J. Hall, L. Hogben, I-J Kim, D. D. Olesky, P. Tarazaga, M. J. Tsatsomeros, and P. Van Den Driessche, Sign Patterns that Allow Eventual Positivity, Research Report 10-01-25, Department of Mathematics, Drexel University, January 2010. Submitted.

Abed Elhashash and Daniel B. Szyld, Two characterizations of matrices with the Perron-Frobenius property, Numerical Linear Algebra with Applications, vol. 16 (2009) pp. 863-869.

Abed Elhashash, Existence, Uniqueness, and Bearing Computation for the Constant-Bearing Navigational Path on an Ellipsoid of Revolution, Journal of Geometry and Symmetry in Physics, vol. 13 (2009) pp. 75-88.

Abed Elhashash and Daniel B. Szyld, On general matrices having the Perron-Frobenius property, Electronic Journal of Linear Algebra, vol. 17 (2008) pp. 389-413.

Abed Elhashash and Daniel B. Szyld, Generalizations of M-matrices which may not have a nonnegative inverse, Linear Algebra and its Applications vol. 429 (2008), pp. 2435-2450.


Curriculum Vitae


Scientific Societies.

American Mathematical Society (AMS).
International Linear Algebra Society (ILAS).
Society of Industrial and Applied Mathematics (SIAM).

 


Analysis Seminar at Drexel.

Mathematics Colloquia at Drexel.

Mathematics at Temple University.

Mathematics at UPenn.


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Last updated: 27 January 2010