**Professor
Elias A. Lipitakis**

AUEB Professor of
Computing

Fellow of IMA

Director of the Advanced Computational

Mathematics Research Group

**Address**

Department of Informatics

**Telephone**

Direct:
+3-210-8203 187

Department: +3-210-8203 314

Fax Machine: +3-210-8203 187 / 8226 204

**E-mail**

*eal@aueb.gr*

**Current
Research Interests**

· Numerical Mathematics

· Sparse matrix technology

· Design and evaluation of algorithms

· Mathematical software

· Numerical solution of PDE’s

**Publications**

On-line publications are available in an FTP
archive

**Other
information**

· Photograph

·
HERMIS and HERCMA
conferences

www.aueb.gr/conferences/hercma2005

**Some
related publications:**

**A) Selected Papers from published
research work (1980-2005)**

LIPITAKIS
E.A., EVANS D.J.: Solving non-linear elliptic difference equations by
extendable sparse factorization procedures, Computing 24, 325-339 (1980).

LIPITAKIS
E.A., EVANS D.J.: The rate of convergence of an approximate matrix factorization
semi-direct method, Numerische Mathematik 36, 237-251 (1981).

LIPITAKIS
E.A.: Direct and approximate algorithmic methods far solving self-adjoint
elliptic partial differential equations in three-space dimensions, Journal of
Computational and Applied Mathematics 9, 167-176 (1983).

LIPITAKIS
E.A.: Generalized extended to the limit sparse factorization techniques
for solving large unsymmetric finite
element systems, Computing 32, 255-270 (1984).

LIPITAKIS
E.A.: Approximate root-free factorization techniques for solving elliptic
difference equations in three-space variables, Linear Algebra and its
Applications 76, 247-269 (1986).

LIPITAKIS
E.A.: Numerical solution of 3D boundary-value problems by generalized AIM
techniques, Intern. Journal of Computer Maths 31, 69-86 (1989).

LIPITAKIS
E.A.: Euclid's algorithm and accelerated iterative methods, HMS Bulletin:
special issue on Computer Mathematics, Vol . 31, 51-76 (1990).

LIPITAKIS
E.A., GRAVVANIS A.G.: Explicit preconditioned iterative methods for solving large
unsymmetric FE systems, Computing 54, 167-183 (1995).

BEKAKOS M.P., EFREMIDIS O.B. and LIPITAKIS E.A.:
Parallel simulators of artificial neural networks, Procs
of the 4th Hellenic-European Research on Computer Maths
and its Applications (HERCMA ‘98) Conference, AUEB, Sept. 1998,

LIPITAKIS E.A.: On sparse approximate inverse
preconditioning techniques, Procs. of
the 16^{th} IMACS World Congress on Scientific Computation, Applied
Mathematics and Simulation, Aug. 2000,

DEMETRIOU I.C. and LIPITAKIS E.A.: Certain
positive definite submatrices that arise from the
binomial coefficient matrices, Applied Numerical Mathematics 36, 219-229
(2001).

DEMETRIOU
I.C., LIPITAKIS E.A.: Measuring the smoothing performance of Least Squares
approximations by non-negative divided differences, HERMΙS-μπ 2,
115-132 (2001).

DEMETRIOU
I.C. and LIPITAKIS E.A.: Modifications of matrix QR factorisations
in Least Squares data fitting by nonnegative divided differences, Procs of the 6th Hellenic-European Research an Computer Maths and its Applications (HERCMA2003) Conference, AUEB,
Sept. 2003, Athens, 543-556.

DEMETRIOU
I.C. and LIPITAKIS E.A. (2003): Quadratic Programming Methods for Least Squares
Data Fitting by nonnegative differences, HERMIS Intern. J. 4, 183-198.

PLATIS
A., GRAVVANIS G., GIANNOUTAKIS K. and E.A. LIPITAKIS (2003): A two phase cyclic
nonhomogeneous Markov chain performability
evaluation by explicit approximate inverses applied to a replicated database
system, Journal of Mathematical Modelling and
Algorithms 2, 235-249.

GRAVVANIS
G., GIANNOUTAKIS K. and E.A. LIPITAKIS: On the numerical solution of fully
parameterized singularly perturbed nonlinear initial and boundary value
problems, 17^{th} IMACS World Congress Scientific Computation, Applied
Mathematics and Simulation (IMACS 2005), Paris, France, July 11-15, 2005

GRAVVANIS
G., GIANNOUTAKIS K. and E.A. LIPITAKIS: Solving fully parameterized singularly
perturbed non-linear parabolic and elliptic PDE’s by
explicit approximate inverse FE matrix algorithmic methods, Procs
of the 7th Hellenic-European Research an Computer Maths and its Applications (HERCMA2005) Conference, AUEB,
Sept. 2005,

www.aueb.gr/pympe/hercma/proceedings2005

DEMETRIOU
I.C., LIPITAKIS E.A. and E. VASSILIOU : L2
approximation to discrete data by nonnegative differences, Procs
of the 7th Hellenic-European Research an Computer Maths
and its Applications (HERCMA2005) Conference, AUEB, Sept. 2005,

www.aueb.gr/pympe/hercma/proceedings2005

LIPITAKIS
E.A. (2006): On sparse approximate inverse matrix techniques and Evans
preconditioned methods, Journal Neural Parallel & Scientific Computations
(NPSC), Dynamic Publishers,

*Programming
with FORTRAN 77 and extensions to FORTRAN 9X (in Greek)*, LEA Publishers,

*Computing
Methods in Numerical Analysis (in
Greek)*, Computer Mathematics Vol. I,
Lea Publishers, * *

Proceedings of HERMIS ’92, 1^{st}
Hellenic Conference on Mathematics and Informatics, Sept. 1992, Athens, HMS
Press, 555 pages.

*Advances on Computer Mathematics and its Applications,
*World Scientific Publishers, 1993, 373 pages

Proceedings of HERMIS ’94, 2nd Hellenic
European Conference on Mathematics and Informatics, Sept. 1994, Athens, HMS
Press, Vol.1 & Vol.2, 1020 pages.

Proceedings of HERMIS ’96, 3^{rd} Hellenic
European Conference on Mathematics and Informatics, Sept. 1996, Athens, Lea
Press, 756 pages.

*The
Computer Cosmos: An Introduction to Computers and Informatics,* (in Greek), Lea Press, 1997, 370 pages.

Proceedings of HERCMA ’98, 4^{th}
Hellenic European Conference on Mathematics and Informatics, Sept. 1998,
Athens, Lea Press, Vol. 1 & Vol. 2, 1062 pages.

Proceedings of HERCMA 2001,
5^{th} Hellenic European Conference on Mathematics and Informatics,
Sept. 2001,

*Info-Mathematics:
Topics of Applied Numerical Analysis- Computational Methods and Algorithmic
Techniques in Scientific Computing (in Greek), *Book
series on Computer Mathematics and its Applications, Volume 2 (2001) and Volume
3 (2002), Lea Press.

Proceedings of HERCMA 2003,
6^{th} Hellenic European Conference on Mathematics and Informatics,
Sept. 2003,

Proceedings of HERCMA 2005, 7^{th}
Hellenic European Conference on Mathematics and Informatics, Sept. 2005,

www.aueb.gr/pympe/hercma/proceedings2005

*Mathematics
and Computing Sciences: Foundations, Breakthroughs and Developments (1900-2004)
(In Greek)*, Volume 2, LEA Publishers,

*Programming with FORTRAN 77, extensions to FORTRAN 9X
and FORTRAN 2003 (*in
Greek), LEA Publishers,

Computer
Mathematics and its Applications: Advances and Developments (1994-2005), LEA
Publications,

* * * * * * * * * * * *