**Research Interests: **

*Algorithms for linear, quadratic, semi definite, and nonlinear programming**Numerical Linear Algebra**Matrix approximation**Applications in signal and Image processing*

1. Al-Homidan, S. and Fletcher,
R. [1995].Hybrid methods for finding the nearest Euclidean
distance matrix, in *Recent Advances in Nonsmooth Optimization * (Eds. D. Du, L. Qi and R. Womersley),
World Scientific Publishing Co. Pte. Ltd., Singapore, pp. 1--17.

2.
Al-Homidan,
S. [1998]. Hybrid methods
for Solving the Educational Testing Problem, *J. Comp. App. Math.* 91 (31-45).

3.
Sebawe
Abdalla M., Ahmed, M.M.A. and Al-Homidan S. [1998] Quantum Statistics of three
Modes Coupled Oscillators, *J. phys. A: Math. Gen.* 31 (1998) 3117-3139.

4.
Al-Homidan,
S. [1998]. Hybrid methods for Minimizing least distance functions with
semi-definite matrix constraints. Proc. of NMA'98: 4th International Conference on
Numerical Methods and Applications
pp.621-628.

5.
Al-Homidan,
S. [2002]. SQP Algorithms for Solving Toeplitz Matrix Approximation Problem. *Numerical
Linear Algebra with Applications*, to appear.

6.
Al-Homidan,
S. [2002]. *Toeplitz Matrix Approximation**. Mathematical
Sciences Research Journal*, to appear.

7.
Al-Homidan,
S. [2002]. Combined Methods For Approximating Hankel Matrix*. WSEAS Transactions on systems* V 1, pp35-41

1. Al-Homidan, S. and Fletcher,
R. [1995].Hybrid methods for finding the nearest Euclidean
distance matrix, *University of Dundee Report *NA/157,
1995.

*2.
*Al-Homidan, S. [1998]. Hybrid methods for Solving the Educational Testing Problem, *T. R. No.
216 KFUPM (Dept. of Maths Sciences).*

*3.
*Al-Homidan, S. [2000]. Positive Semi-Definite Toeplitz Approximation Methods, *T. R. No. 259 KFUPM (Dept. of Maths Sciences).*

*4. *Al-Homidan, S. [2001]. Structured Methods for Solving Hankel Matrix
Approximation Problems, *T. R. No. 266
KFUPM (Dept. of Maths Sciences).*

*1.
*Al-Homidan, S. [1998]. Hybrid methods for Minimizing least distance functions with
semi-definite matrix constraints. Proc. of NMA'98: *4th International
Conference on Numerical Methods
and Applications* pp.621-628.

2.
Al-Homidan,
S. [2002]. Combined methods for Toeplitz Matrix Approximation methods. *Current trends in Industrial and applied mathematics(*Ed.
P Manchanda, K. Ahmad and A.H. Siddiqi) Anamaya Publishers.

1.
Al-Homidan,
S. [2002]. Numerical Experiments with
Toeplitz Matrix
Approximation Methods *submitted*.

2.
Al-Homidan,
S. [2002]. Alternating Projection
Algorithm for Hankel Matrix Approximation *submitted*.

**Arabic
Book **** **** **** **** **** **

An Arabic Book on Linear Programming
with H. Heamedh and O. Hamed. Published 2002

أسس
البرمجة الخطية تأليف سليمان
الحميدان، عمر حامد وحسن حميدة.

1.
13th
biennial conference on numerical analysis, university of Dundee, Scotland, UK,
4th - 7th July 1989

2.
14th
biennial conference on numerical analysis, university of Dundee, Scotland, UK,
2nd - 5th July 1991

3.
15th
biennial conference on numerical analysis, university of Dundee, Scotland, UK,
29th June - 2nd July 1993

4.
The
first meeting for Saudi association for mathematical science, King Saud
University, Riyadh, Saudi Arabia 8th - 9th March 1994

5.
The
second meeting for Saudi association for mathematical science, King Saud
University, Riyadh, Saudi Arabia, 11th - 12th March 1997

6.
The
fourth meeting for Saudi association for mathematical science, King Saud
University, Riyadh, Saudi Arabia, 9th - 10th March 1999

7.
NMA'98:
4th International Conference on Numerical Methods and Applications,

August 19 - 23, 1998, Sofia, BULGARIA. (Paper presented)

8.
Workshop
on Mathematical Modeling of Flow through super K systems, Sept. 12-14, 1998
ARAMCO Dhahran.

9.
Workshop
on Industrial System and Control, Nov. 2, 1998, KFUPM, Dhahran.

10.
Workshop
on Matrix Theory and Applications, Tuesday, December 16, 1997, KFUPM, Dhahran.
(Member of the committee)

11.
ONA'99
International Conference on Optimization and Numerical Sep. 26 - 30, 1999,
Nanjing Normal University, Nanjing, China. (Paper presented)

12.
The
fifth meeting for Saudi association for mathematical science, King Saud
University, Riyadh, Saudi Arabia, 11th - 12th April 2000. (Paper presented)

13.
International
Conference on Advances in Convex Analysis and Global Optimization in the
university of Aegean, Samos,
Greece in June 5-9, 2000 .(paper presented)

14.
Workshop
on Professional Ethics: Concepts, Experiences, Obstacles. Tuesday, November
12-13, 2001, KFUPM, Dhahran.
(Member of the committee).

15.
First
International Conference on Industrial and applied mathematical in indian
Subcontinent and Vith Annual Conference
of ISIAM, Amritsar, India, January 22-25, 2001. (Paper presented)

16.
The Sixth International Conference on Approximation and
Optimization in the Caribbean In Guatemala at March 25 - 30, 2001. (paper presented).

17.
The
first Saudi Science Conference, KFUPM, Dhahran, 9-11 April 2001. (Session
Chairman)

18. 2nd WSEAS Multiconference on Applied and Theoretical Mathematics, In Cairns, Australia , 17-21 Dec. 2001. (paper presented).

**Projects**

1. Principal Investigator of SABIC and Fast Track Project # FT/2000-04, Titled, " Toeplitz and Hankel Matrix Approximation" Funded by KFUPM, December 2000 - May 2002 (Budget 51,000 Saudi Riyals) In Progress.

2. Co-Principal Investigator On the Project #37994, Titled, " Installations Model for Gas Ambush, Gas Condensed and Light Oil " Funded Through Research Institute, KFUPM, (Budget Saudi Riyals) In Progress.

3. Principal Investigator of the British Council project "New Algorithm for Solving the Euclidean Distance Matrix Problem", Funded by the British Council, Summer 2000 (Budget 27,000 Saudi Riyals)