Personal Data

Surname:  Deif
Forenames:  Assem Shawki
Nationality:  Egyptian
Date of Birth: 1 October 1945
High School: College de la Sainte Famille (les peres Jesuites), Le Caire
Languages spoken: Arabic, English and French

Education and Degrees

Fellowships and Awards

Academic Posts Held

Administrative Posts Held

Membership-Academic and Scientific Organizations

Courses Taught

Research Subjects

Published Papers/Mathematics

  1. A.S.Deif: Sensitivity Analysis from the State Equations by Pertubation Techniques, J. Appl. Math. Model, 5, 405-408, 1981
  2. A.S.Deif: The Proof of a New Matrix Theorem, Egypt’s Proc. Math. Phys. Soc., 51, 7-9, 1981
  3. A.S.Deif: Normal Positive Definite Matrices, Matrix and Tensor  Quarterly, 32,  109-110, 1982
  4. A.S.Deif: Nondiagonable Systems under Small Perturbations, J. Appl. Math. Phys.(ZAMP), 33, 282-288, 1982
  5. A.S.Deif: The Generalized Inverse of a Perturbed Singular Matrix, J. Appl. Math. Phys. (ZAMP), 34, 291-300, 1983
  6. A.S.Deif: Error Bounds for the Equation AX+XB=C, Matrix and Tensor Quarterly, 34, 66-74, 1983
  7. A.S.Deif and P.Hagedorn: Matrix Polynomials Subjected to Small Perturbations, J. Appl. Math. Mech. (ZAMM), 66, 403-412, 1986
  8. A.S.Deif: A Relative Backward Perturbation Theorem for the Eigenvalue Problem, Numerische Mathematik, 56, 625-626, 1989
  9. A.S.Deif: Realistic a-Priori and a-Posteriori Error Bounds for Computed Eigenvalues, IMA J. Numer. Analysis, 9, 323-329, 1990
  10. A.S.Deif: The Interval Eigenvalue Problem, J. Appl. Math. Mech. (ZAMM), 71, 61-64, 1991
  11. 11.A.S.Deif: Singular Values of an Interval Matrix, Linear Algebra and its Appl., 151, 125-133, 1991
  12. N.Seif, S.Hashem, A.Deif: Bounding the Eigenvectors of a Symmetric Interval Matrix, J. Appl. Math. Mech. (ZAMM), 72, 233-236, 1992
  13. J.Rohn and A.Deif: On the Range of Eigenvalues of an Interval Matrix, Computing, 47, 373-377, 1992
  14. A.S.Deif and J.Rohn: On the Invariance of the Sign Pattern of Matrix Eigenvectors by Perturbation, Linear Algebra and its Appl., 196, 63-70, 1994
  15. N.Seif, S.Hussein, A.Deif: Interval Sylvester’s Equation, Computing, 52, 233-244, 1994
  16. 16.A.S.Deif: Rigourous Perturbation Bounds for Eigenvalues and Eigenvectors of a Matrix, J. Comput. and Appl. Math., 57, 403-412, 1995
  17. 17.A.Deif, N.Seif, S.Hussein: Sylvester’s Equation, Accuracy and Computational Stability, J.Comput. and Appl. Math., 61, 1-11, 1995
  18. A.S.Deif: A-Priori and a-Posteriori Bounds in Matrix Computations,
    Invited Paper to the Encyclopaedia of Mathematics, edited by Prof. Dr. M. Hazewinkel, Supplement I, pp.1-5, Kluwer publishers, Dordrecht, The Netherlands, 1997. Available on a CD.
  19. N.P.Seif, M.A.Hassanein, A.S.Deif: Inverse problem of the interval linear system of equations, Computing, 63, 185-200, 1999

Published Papers/Engineering Applications

  1. M.I.Sobhy and A.S.Deif: The State-Space Approach to First Order Perturbations in Electrical Networks, Trans. IEEE Circuits and Systems, 22,776-780, 1975
  2. M.I.Sobhy and A.S.Deif: Applications of the Perturbation Matrix in Network Design Problems, Electronics Letters, 11, 294-296, 1975
  3. 22.M.I.Sobhy and A.S.Deif: The Perturbation Matrix and its Applications in Network Design, International J. Electronics, 40, 257-266, 1976
  4. M.I.Sobhy and A.S.Deif: The State Matrix of Networks Containing Lossy Reactances, International J. Electronics, 47, 603-608, 1979
  5. A.S.Deif: A Linear Programming Model for an Optimum Admission Policy in Education, J. Appl. Math. Model., 4, 39-44, 1980
  6. A.S.Deif and S.Hussein: Network Design from the Characteristic Polynomial, J. Appl. Math. Model., 8, 351-354, 1984

Papers in Conference Proceedings and invited talks

  1. A.S.Deif: Optimal Planning in Education to Meet Social Demand and Manpower Requirements, Proc. Intern. Conf. Autom. Control IFAC) Ed:A.Ghoneim, Amer. University, Cairo, 1977
  2. A.S.Deif: Non-Conservative Mechanical Systems Subjected to Small Variations in their Parameters, Proc. First Conf. on Mech. Design and Production, Ed:G.Shawki, Cairo University,1979
  3. H.Al-Gindi and A.Deif: An Algorithm for Analysing Lumped and Distributed Systems, IMACS Europ. Simul. Meeting on DPS-LSS, Ed:S.Tzafestas, Patras, Greece, 1979
  4. A.S.Deif and F.Selim: The State-Space Approach to First Order Perturbations in Distributed Systems , Proc. Europ. Conf. Circuit Theory and Design Ed:P.Dewilde and R.Boite, The Hague, Netherlands,1981
  5. L.Zereick, R.Amer, A.Deif: Network Tuning via Mixed Integer Programming, IEEE  International Symp. Systems (ISCAS) Ed:S.Mitra, NewPort Beach CA, USA, May, 1983
  6. A.S.Deif and A.Hussein: Interval Analysis, a Tool for Controlling Accuracy
    invited lecture to the dept. of mathematics conf., the school of science of Cairo univ. for the Commemoration of Prof. A.Ashour Birthday, 1984
  7. A.S.Deif : Three chronic problems in numerical analysis, invited paper to the first. intern. Conf. in engineering mathematics and physics held at Cairo university in Dec.1990
  8. A.S.Deif : Interval analysis, a tool in numerical computations,
    an invited lecture in the department of mathematics, the university of Petroleum and Minerals, Dhahran, Saudi Arabia, March 1992
  9. A.S.Deif : Accuracy and computational stability by interval analysis,
    paper invited to the second intern. Conf. in engineering mathematics and physics held at Cairo university in Dec.1994
  10. A.S.Deif : Misconceptions in teaching calculus,
    paper invited to the second internal symposium in mathematics education organized by the ministry of education at Ibrahymia school, Cairo, Febr.2000

Refereed Technical Reports

  1. A.S.Deif: The State Equations of Electrical Networks from a Lagragian Formulation, Bulletin of the Faculty of Engineering, Cairo University, 4, 285-293, 1979
  2. A.S.Deif: Perturbation of the Eigenvalues of Non-Diagonalizable Matrices, Bulletin of the Faculty of Engineering, Cairo University, 2,133-142,1980
  3. A.S.Deif and A.Hussein: A-Posteriori Analysis for Iterative Systems, Bulletin of the Faculty of Engineering, Cairo University, 4, 13-16, 1987
  4. A.S.Deif and A.Hussein: Perturbation of the Eigenvalues of a Defective Matrix, Bulletin of the Faculty of Engineering, Cairo University, 2, 1-7, 1987


  1. A.S.Deif: Advanced Matrix Theory for Scientists and Engineers, Abacus Press London and Halsted Press division of John-Wiley and Sons, New York, 1982. A second edition appeared in 1991 by Gordon and Breach Science Publishers, London
  2. A.S.Deif: Sensitivity Analysis in Linear Systems, Springer-Verlag, Berlin and Heidelberg, 1986
  3. A.S.Deif: Differential and Integral Calculus, Dar Al-Maaref, Cairo, 1996 in Arabic in its first edition. A third edition appeared lately and a CD-Rom is about to be produced. A brief description is found in:

Conference Active Participation



Dr. Deif is the owner and moderator of the Calculus_eg society on the web, focussing on Calculus-related subjects. The site includes queries of students, links on related issues, exams, etc…The society was founded in Sept. 2000, see:

He also contributed to many other e-groups societies.