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Publications

  Some Paper can be requested via  e-mail  

Thesis

Hybrid Methods for Optimization Problems with Positive
Semi–Definite Matrix Constraints

Papers  

  1.      Al-Homidan S., Hybrid Methods For Solving The Educational Testing Problem Journal of Computational and Applied Mathematics Vol. 91 (1998) pp.31-45. ISI (IF[1]: 0.943).

  2.       Sebawe Abdalla M., Ahmed, M.M.A. and Al-Homidan S., Quantum Statistics Of Three Modes Coupled Oscillators, Journal of Physics A: Mathematical and General  Vol. 31 (1998) pp.3117-3139. ISI (IF: 1.680).

  3.       Al-Homidan S., SQP Algorithms for Solving Toeplitz Matrix Approximation Problem, Numerical Linear Algebra with Applications, Vol. 9(8) (2002) pp.619-627. ISI (IF: 0.696).

  4.       Al-Homidan S., Toeplitz Matrix Approximation, Mathematical Sciences Research Journal, Vol. 6(2) (2002)  pp.104-111.

  5.       Al-Homidan S., Combined Methods For Approximating Hankel Matrix, WSEAS Transactions on systems, Vol.1 (2002) pp.35-41.

  6.       Al-Homidan S., Hybrid  Methods For Approximating Hankel  Matrix, Numerical Algorithms, Vol. 32 (2003)  pp. 57-66. ISI (IF: 0.527).

  7.       Al-Homidan S.  and Wolkowicz H., Approximate and Exact Completion Problems for Euclidean Distance Matrices using Semidefinite Programming,  Linear Algebra and its Applications,  Vol. 406 (2005) pp. 109-141. ISI (IF: 0.702).

  8.       Al-Homidan S., Structured Methods for Solving Hankel Matrix Approximation Problems, Pacific journal of Optimization, Vol. 1 (2005) pp.  599-609.

  9.    Alshahrani M.  and   S. Al-Homidan,   Mixed Semidefinite And Second-Order Cone Optimization Approach For The Hankel Matrix Approximation Problem, Nonlinear Dynamics and Systems Theory. Vol. 6(3) (2006) pp. 211-224.

  10.   Al-Homidan S. and Fletcher R., Rationalizing Foot and Ankle Measurements to Conform to a Rigid Body Model, Computer Methods in Biomechanics and Biomedical, Vol. 9 (2) (2006) pp. 103-111. ISI (IF: 0.779).

  11.  Al-Homidan S.,  Semidefinite and Second Order Cone Optimization Approach for the Toeplitz Matrix Approximation Problem, Journal of Numerical Mathematics, Vol.14(1) (2006) pp.1-15.

  12.   Al-Homidan S.,  "Solving Hankel Matrix Approximation Problem using Semidefinite Programming, Journal of Computational and Applied Mathematics, Vol. 202(2) (2007) pp. 304-314. ISI (IF: 0.943).

  13.  Al-Homidan S.  and Ansari Q., Systems of Equilibrium Problems with Lower and Upper Bounds, Applied Mathematics Letters,  Vol. 20(3) (2007) pp. 323-328. ISI (IF: 0.699).

  14.   Al-Homidan S.,  Approximate Toeplitz Problem Using Semidefinite Programming, Journal of Optimization Theory and Applications, Vol. 135(3) (2007) pp. 583-598. ISI (IF: 0.688).

  15.  Al-Homidan S., Ansari Q. and Schaible S., Existence of Solutions of Systems of Generalized Implicit Vector Variational Inequalities, Journal of Optimization Theory and Applications, Vol. 134(3) (2007) pp. 515-531. ISI (IF: 0.688).

  16.  Al-Homidan S., Ansari Q. and Yao J.,  Some Generalizations Of Ekeland-Type Variational Principle With Applications To Equilibrium Problems And Fixed Point Theory, Nonlinear Analysis , Vol. 69(1) (2008) pp. 126-139. ISI (IF: 1.232).

  17.  Al-Homidan S. and Ansari Q., Generalized Minty Vector Variational-like Inequalities and Vector Optimization Problems, Journal of Optimization Theory and Applications (to appear). ISI (IF: 0.688).

  18.  Ceng L., Al-Homidan S., Ansari Q. and Yao J., An Iterative Scheme For Equilibrium Problems And Fixed Point Problems Of Strict Pseudo-Contraction Mappings, Journal of Computational and Applied Mathematics (to appear). ISI (IF: 0.943).

  19.  Al-Homidan S., Semidefinite Programming for the  Educational Testing Problem, Central European Journal for Operations Research (to appear).

  20.    Al-Homidan S., Alshahrani M., Petra C. and Potra F. Minimal Condition Number for Positive Definite Hankel Matrices using Semidefinite Programming.

  21.   Al-Homidan S., Global Convergence of the Alternating Projection Method for the Max-Cut Relaxation Problem. 

  22.          Al-Homidan S.  and. Alshahrani M., Positive Definite Hankel Matrices using  Cholesky Factorization.     "Computational methods in applied mathematics". Vol. 9 (2009). No. 3 pp.221-225.

  23. Lin L., Chuang C. and S  Al-Homidan, Ekeland type variational principle with applications to quasi-variational inclusions. Accepted in    Nonlinear Analysis.

  24.  Al-Homidan S. and Ansari Q., Collectively Fixed Point and Maximal Element Theorems, Generalized Abstract Economies and Systems of Quasi-Equilibrium Problems in Topological Semilattice Spaces.  Accepted in   "Applicable Analysis"

  25.  Al-Homidan S. and Ansari Q., Quasi-Equilibrium Problems with Lower and Upper Bounds in Ordered Topological Spaces.

  26.   Al-Homidan S., Alternating Projection Algorithm for Hankel Matrix Approximation.

  27.    Alfakih A., Al-Homidan S., Piccialli V., Tweedle D. and Wolkowicz H., Euclidean Distance Matrices Theory, Algorithms, Applications.

  28.  Al-Homidan S., Piccialli V. and Wolkowicz H., Relations between Approximate and Exact Completion Problems for Euclidean Distance Matrices.

  29.   Al-Homidan S. and Wolkowicz H., A Robust Semidefinite Programming Algorithm for the Nearest Positive Definite Hankl Matrix.

  30.  Al-Homidan S. and Algarni M., Structured Methods for Solving Correlation Problem.

  31.   Al-Homidan S. and Rapcsak T., On the Singular Value Decomposition in Analytic Hierarchy Process.

  32.  Al-Homidan S., New Algorithm  for Solving the Symmetrizable Positive Definite  Matrix Problem.

  33.  Al-Homidan S. and Ansari Q., Fixed Point Theorems on Product Topological Semilattice Spaces, Generalized Abstract Economies and Systems of Generalized Vector Quasi-Equilibrium Problems

  34.   Al-Homidan S. and Fletcher, R. 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 (1995), pp.1-17.

  35.  Al-Homidan, S. Hybrid Methods for Minimizing Least Distance Functions With Semidefinite Matrix Constraints. Proceedings of  NMA'98: : Recent Advances in Numerical  Methods and ApplicationsII,  (1998) pp. 671-678.

  36.   Al-Homidan, S. Combined Methods for Toeplitz Matrix Approximation Methods. Current Trends in Industrial and Applied Mathematics (Editors P Manchanda P., Ahmad K. and Siddiqi A.) Anamaya Publishers. (2002) pp 69-78.

  37.    Al-Homidan S. Numerical Experiments with Toeplitz Matrix Approximation Methods. Modern Mathematical Models, Methods and Algorithms for Real World System. (Editors Siddiqi A., Duff I. and  Christensen O.). Anamya Publishers, India & UK, (2005) pp. 448-457.

  38.  Al-Homidan, S. and Ansari Q.  On Vector Optimization Problems and Minty-type Vector Variational-like Inequalities. Abstracts Proceedings of: ICOTA7 The 7th International Conference on Optimization: Techniques and Applications, Kobe, Japan, (2007) pp.303-304.

  39.   Al-Homidan, S.  Matrix Nearness Problems. Abstracts Proceedings of: ICOTA7 The 7th International Conference on Optimization: Techniques and Applications, , Kobe, Japan, (2007) pp.485-486.

  40.   Al-Homidan S., Abu-Sbeih M.  and  Alassar  R.أهمية ترجمة العلوم الأساسية والمشاكل التي تعترضها. الندوة السادسة للمسؤولين عن تعريب التعليم العالي في الوطن العربي. مسقط، عُمان، 2006، صفحات 137-163.

  41.  Al-Homidan S., Hamed O. and Hemideh H.,  Linear Programming, Arabic Book: البرمجة الخطية. Edited, reviewed and published by King Saud University.  (Adopted for the course MATH 456 “Linear Programming” at the Department of Mathematics, KSU),  2002.

  42. Al-Homidan S. Interior Point Methods for Linear and Nonlinear Programming, Arabic Book:. Edited and reviewed by KFUPM and published by Obeikan Publisher. 1010.  طرق النقطة الداخلية للبرمجة الخطية وغير الخطية

  43.   Al-Homidan S., Abu-Sbeih M.  and  Alassar  R.,رؤيـة منهجية حول ترجمـة العلـوم الأساسية والمشاكل التي تعترضها، الجامعة، العدد 375، 2007، الصفحة السادسة.

  44.   Al-Homidan, S. and Fletcher R., Hybrid Methods  for Finding the Nearest  Euclidean Distance Matrix. Report NA/157, Dept. of Maths Sciences, University of Dundee, 1995.

  45.   Al-Homidan, S., Hybrid Methods For Solving The Educational Testing Problem. Technical Report No. 216, Dept. of Math & Stat, KFUPM, 1998.

  46.   Al-Homidan, S., Positive Semidefinite  Toeplitz Approximation Methods. Technical Report No. 259, Dept. of Math & Stat, KFUPM, 2000.

  47.   Al-Homidan, S., Structured Methods for Solving Hankel Matrix Approximation Problems. Technical Report No. 266, Dept. of Math & Stat, KFUPM, 2001.

  48.  Al-Homidan, S.  and Alshahrani M.,  New Formulations of the Hankel Matrix Approximation Problem. Technical Report No. 290, Dept. of Math & Stat, KFUPM, 2003.

  49.   Al-Homidan S. and Wolkowicz H., Approximate and exact completion problems for Euclidean distance matrices using semidefinite programming . Technical Report CORR 2004-15, University of Waterloo, Waterloo, Ontario, 2004.

  50.   Al-Homidan S. and Alshahrani M., Hankel Matrices using Cholesky Factorization. Technical Report No. 379, Dept. of Math & Stat, KFUPM, 2007.

 

[1] IF: Impact Factor