**American Journal of Operational Research**

American Journal of Operational Research publishes high quality scientific papers that contribute significantly to the fields of operational research. Articles present new theoretical insights and developments, as well as real-world case studies illustrating the practical implementation of operational research.

**p-ISSN:**2324-6537**e-ISSN:**2324-6545**Website:**http://journal.sapub.org/ajor

## Zeyad Al-Zhour

**Editorial Board Member of**

*American Journal of Operational Research*Associate Professor, University of Dammam, Saudi Arabia

**Research Areas**

Numerical Matrix Analysis and Applied Linear Algebra, Matrix (Differential) Equations and Algebriac Systems of Matrices, Fractional Calculus and Convolutions, Mathematical Biology, General Theory, Linear Spaces and Operators, Operations Research and Mathe

### Education

2003-2006 | Ph.D | Applied Mathematics, University Putra Malaysia (UPM), Serdang, Selangor, Malaysia |

1994-1997 | M.Sc. | Mathematics, Al al-Bayat University (AU), Mafraq, Jordan |

1990-1994 | B.Sc. | Mathematics, Mu'tah University, Al-Karak, Jordan |

2003-2006 | Ph.D | Applied Mathematics, University Putra Malaysia (UPM), Serdang, Selangor, Malaysia |

1994-1997 | M.Sc | Mathematics, Al al-Bayat University (AU), Mafraq , Jordan |

1990-1994 | B.Sc | Mathematics, Mu'tah University, Al-Karak, Jordan |

### Experience

2010-present | Assistant Professor, University of Dammam (UD), Kingdom of Saudi Arabia (KSA) |

2007-2010 | Head of Math. Dept. (Assistant Professor), Zarqa private University (ZPU) , Jordan |

2003-2006 | Lecturer & Researcher, University Putra Malaysia (UPM), Malaysia |

2000-2003 | Teacher, Islamic Educational College(IEC)/Al Jubaiha , Amman , Jordan |

1998-2000 | Teacher, Educational Creative School (ECS)/AL Jubaiha , Amman , Jordan |

1994-1998 | Teacher, Islamic Educational College (IEC)/Al-Jubaiha , Amman , Jordan |

### Academic Achievement

Head of Mathematices Department, Faculty of Science and IT, Zarqa Private Univesity |

Head of Social Committee, Faculty of Science and IT, Zarqa Private Univesity |

### Membership

A member of "Researcher Gate Scientific Network" |

### Publications: Journals

[1] | Al-Zhour Z. & Sabbagh M., The Approximate Solutions of Coupled Matrix Riccati Convolution Differential Equations, International Journal of Mathematical Archive (IJMA), Vol. 2, No. 4, April (2011), 452-464. Available Online at http://www.ijma.info/index.php/ijma |

[2] | Al-Zhour Z, Generalizations of Ando's Geometric Mean on Positive Matrices and Some Related Inequalities Journal of Mathematics and Statistics, (Accepted). To Appear online at: http://www.scipub.org/scipub/current_issue.php?j_id=jms2&PHPSESSID=fd831ee8f684070a9fdda2bdf70c17c2 |

[3] | Kilicman A. & Al-Zhour Z., On the Convergent Infinite Products of Matrix Sequances, International Journal of Computer Mathematics, To Appear online at: http://www.informaworld.com/smpp/title~db=all~content=t713455451 |

[4] | Kilicman A. & Al-Zhour Z., Note on the Numerical Solutions of the General Matrix Convolution Equations by Using the Iterative Methods and Box Convolution Products. Abstract and Applied Analysis, Vol. 2010, Article ID 106192, doi: 10.1155/2010/106192, (2010), 16 pages. A vailable Online at: http://www.hindawi.com/journals/aaa/2010/106192.html |

[5] | Kilicman A. and Al Zhour Z., On the Connection between Kronecker and Hadamard Convolution Products of Maytrices and Some Applications, Journal of Inequalities and Applications, Vol. 2009, Article ID 736243, doi:10.1155/2009/736243 doi:10.1155/2009/736243., (2009), 10 pages. A vailable Online at: http://www.hindawi.com/journals/jia/2009/736243.html |

[6] | Al Zhour Z., Numerical Solutions of the General Matrix Convolution Equations Based on the Iterative Methods and Box Convolution Product., Far East J. of Mathematical Sciences (FJMS), Vol. 32, Issue 2, February (2009), 199-215. Available Online at http://pphmj.com/journals/articles/476.htm . |

[7] | Al Zhour Z., Aqel A. A. and Abdalah Ibrahim, Mathematical Properties of DNA Structure in 3-Dimensional Space, Int. J. Open Problems Compt. Math., Vol. 1., No.2, December (2008), 214-221. Available Online at http://www.emis.de/journals/IJOPCM/vol1.html |

[8] | Al Zhour Z., A Computationally-Efficient Solutions of Coupled Matrix Differential Equations for Diagonal Unkbown Matrices, J. of Mathematical Science: Advanced and Applications, Vol 1, No. 2, , August (2008), 373-387. Available Online at http://scientificadvances.org/journals1P5.htm |

[9] | Al Zhour Z., Numerical Solutions of the General Matrix Convolution Equations Based on the Iterative Methods and Box Convolution Product, Far-East J. of Mathematical Sciences, Vol.32, Issue 2, February (2009), 199-215.. Available Online at http://pphmj.com/journals/articles/476.htm. |

[10] | Kilicman A. and Al Zhour Z., The Representation and Approximation for the Weighted Minkowski Inverse in Minkowski Space, Math. and Computer Modelling (Elsevier). Vol. 37, Issues 3-4, February (2008), 363-371. Available Online at http://www.sciencedirect.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=583878345&_sort=d&view=c&_acct=C000068028&_version=1&_urlVersion=0&_userid=5661384&md5=756e422a2a5d1a14f52f8f052e82f108 |

[11] | Kilicman A. and Al Zhour Z., Vector Least-Squares Solutions of Coupled Singular Matrix Equations. J. Comput. Appl. Math. (Elsevier), Vol. 206, Issue 2, September (2007), 1051-1069. Available Online at http://www.sciencedirect.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=583878345&_sort=d&view=c&_acct=C000068028&_version=1&_urlVersion=0&_userid=5661384&md5=756e422a2a5d1a14f52f8f052e82f108 |

[12] | Al Zhour Z. and Kilicman A. Some New Connections between Matrix Products for Partitioned and Non-Partitioned Matrices. Computers and Math. with Appl.. (Elsevier). Vol 54, Issue 6, September (2007), 763-784. Available Online 9 May 2007 at http://www.sciencedirect.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=583878345&_sort=d&view=c&_acct=C000068028&_version=1&_urlVersion=0&_userid=5661384&md5=756e422a2a5d1a14f52f8f052e82f108 |

[13] | Kilicman A. and Al Zhour Z., Kronecker Operational Matrices for Fractional Calculus and Some Applications. Appl. Math. and Comput. (Elsevier), Vol. 187, Issue 1, (2007), 250-265. A vailable Online at http://www.sciencedirect.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=583878345&_sort=d&view=c&_acct=C000068028&_version=1&_urlVersion=0&_userid=5661384&md5=756e422a2a5d1a14f52f8f052e82f108 |

[14] | Kilicman A. and Al Zhour Z., Iterative Solutions of Coupled Matrix Convolution Equations. Soochow J. of Math. Vol. 33, No. 1 (2007), 167-180. A vailable Online at http://journal.math.scu.edu.tw/mp/scu/00view.asp?eAutoID=88. |

[15] | Al Zhour Z. and Kilicman A. New Representations for Weighted Drazin Inverse of Matrices, Internt. J. of Math. Anal. Vol. 1, No. 15, (2007), 697-708. A vailable Online at http://m-hikari.com/ijma/forth/index.html |

[16] | Al Zhour Z. and Kilicman, Some Topics on Weighted Generalized Inverse and Kronecker Product of Matrices, Malaysian J. of Mathematical Sciences, Vol. 1, No. 1, (2007), 109-122, A vailable Online |

[17] | Al Zhour Z. and Kilicman A, Matrix Equalities and Inequalities Involving Khatri-Rao and Tracy-Singh Sums, J. of Ineq. in Pure and Appl. Math., Vol.7, Issue 1 (2006), Article 34, 496-513. A vailable Online at http://jipam.vu.edu.au/user.php?op=displayuser&uid=580 |

[18] | Al Zhour Z. and Kilicman A., Extensions and Generalization Inequalities Involving The Khatri-Rao Product of Several Positive Matrices. Journal of Inequalities and Applications, Vol. 2006, Article ID 80878, doi: 10.1155/JIA/80878, (2006), 21 pages. A vailable Online at:http://www.hindawi.com/GetArticle.aspx?doi=10.1155/JIA/2006/80878&e=cta . |

[19] | Kilicman A. and Al Zhour Z., The General Common Exact Solutions of coupled Linear Matrix and Matrix Differential Equations, J. of Anal. and Comput., Vol.1, No.1 (2005), 15-29. A vailable Online at http://www.niscair.res.in/ScienceCommunication/AbstractingJournals/isa/isa2k6/isa_1sep06.asp |

[20] | Kilicman A. and Al Zhour Z., Improvements on Geometric Means Related to the Tracy-Singh Products of Positive Matrices. J. Jab. Mat. (Matematika), Vol. 21, No. 2 (2005), 49-65. A vailable Online at http://www.fs.utm.my/oldfs/index.php?option=com_content&task=view&id=201&Itemid=80 |

[21] | Al Zhour Z. and Kilicman A., New Algebraic Method for Solving the Axial N-Index Transportation Problem Based on the Kronecker Product. J. Jab. Mat. (Matematika), Vol. 21, No.2 (2005), 113-123. A vailable Online at http://www.fs.utm.my/oldfs/index.php?option=com_content&task=view&id=177&Itemid=75 . |

[22] | Al Zhour Z., Kilicman A. and Abu Hasan M., A New Algebraic Method for Solving the Balanced Transportation Problem (BTP) Based on the Kronecker Product. IRSIAM J. on Appl. Math., Vol. 1, No. 1 (2005), 64-80. |

[23] | Kilicman A. and Al Zhour Z., Connection between the Kronecker and Hadamard Convolution Products of Matrices and Some Applications. Internt. J. of Pure and Appl. Math. (2008). The paper accepted to be published (To Appear). |

### Publications: Conferences/Workshops/Symposiums

[1] | Al Zhour Z. Generalizations of Ando's Geometric Mean on Positive Matrices and Some Related Inequalities, Proceedings of the Interenational Conference "The Third Conference on Mathematical Sciences (CMS'2011)", Zarqa University, Zarqa, Jordan, 27-29 April 2011. |

[2] | Al-Zhour Z., A note on the Solution of the General Linear Matrix Differential Equations, Proceedings of the Interenational Conference "Computational Methods and Function Theory (CMFT 2009), Bilkent University, Ankara, Turky, 08-12 June 2009. |

[3] | Al Zhour Z. and Kilicman A., Matrix Results on Weighted Drazin Inverse and Some Applications, Proceedings of 15-th Conference of the International Linear Algebra Society (ILAS), Canúcn, México, June 16-20, 2008. |

[4] | Al Zhour Z. The General Representations for the Weighted Drazin Inverse Related to MPI and Kronecker Product of Matrices, Proceedings of Sixth International Conference on Material Sciences (CMS6). Lebanese University (Beirut-Lebanon), Hauate-Alsace University (Mulhouse-France), Henri Poincaré Universitiy (Nancy I-France), Washington State University (WS-USA), University of Algiers (Algeria and University of Tlemcen (Algeria). Beirut-Lebanon, May 15-17, 2008. |

[5] | Al Zhour Z. and Kilicman A. The General Representations for the Weighted Drazin Inverse Related to MPI and Kronecker Product of Matrices, Proceedings of American Conference on Applied Mathematics-WSEAS-The University of Harvard, Cambridge, USA, March 24-26, 2008. |

[6] | Al Zhour Z. and Kilicman A. The General Representations for the Weighted Drazin Inverse with Applications, Proceedings of the International Conference on Discrete Mathematics and Applications (ICDMA 2008), The University of the Thai Chamber of Commerce (UTCC), Bangkok, Thiland, March 5-7, 2008. |

[7] | Al Zhour Z. and Kilicman A., The Riemann-Liouville Fractional Integral of Matrices with Applications, International Symposium on Geometric Function Theory and Applications, Istanbul Kültür University, Istabnul, Turky, 22-24 Aug, Vol. 1 (2008). 125-137. |

[8] | Al Zhour Z. and Kilicman A., On the Convergence and Error Estimation of the Moore-Penrose Inverse. Proceedings of "The Konference Kebangsaan Pemodelan Matematik and Statistik Sempena 75 Tahun UPM", University Putra Malaysia (UPM), Malaysia, 5-6 September 2006, Vol.1 (2006), 235-240. |

[9] | Al Zhour Z. and Kilicman A, New Holder-Type Inequalities for the Tracy-Singh and Khatri-Rao products of Positive Matrices. Proceedings of the 1st IMT-GT International Conference on Mathematics, Statistics and Their Applications 2005, Lake Toba, Parapat-Indonesia, University of Sumatera Utara (USU), 13-15 June 2005, Vol.1 (2005), 1-7. |

[10] | Al Zhour Z. and Kilicman A., Some Applications of the Convolution and Kronecker Products of Matrices. Proceedings of the Simposium Kebangsaan Sains Matematik ke XIII, University Utara Malaysia (UUM), Kedah-Malaysia, 31 May-2 June 2005, Vol. 2 (2005), 551-562. |

[11] | Al Zhour Z. and Kilicman A., Extension and Generalization Inequalities Involving the Hadamard Product of Several Positive Matrices. Proceedings of the 2nd International Conference on Research and Education in Mathematics (ICREM2)-2005, University Putra Malaysia (UPM), Putra Jaya-Malaysia, 25-27 May 2005, Vol. 1 (2005), 48-64. |

[12] | Kilicman A. and Al Zhour Z., The General Common Exact Solutions of coupled Matrix and Matrix Differential Equations. Proceedings of the 2nd International Conference on Research and Education in Mathematics (ICREM2)-2005, University Putra Malaysia (UPM), Putra Jaya-Malaysia, 25-27 May 2005, Vol. 1 (2005), 75-87. |

[13] | Kilicman A. and Al Zhour Z., Convexity and Concavity Theorems on Positive Matrices and Applications to Geometric Means and Katri-Rao Products. Proceedings of the International Advanced Technology Congress 2005-Conference on Advances in Theoretical Science ATCi, University Putra Malaysia (UPM), Putra Jaya-Malaysia, 6-8 December 2005. |

[14] | Al Zhour Z. and Kilicman A. A Family of Geometric means of Positive Matrices and Some New Connections. Proceedings of the International Advanced Technology Congress 2005-Conference on Advances in Theoretical Science ATCi, University Putra Malaysia (UPM), Putra Jaya-Malaysia, 6-8 December 2005. |

[15] | Al Zhour Z. and Kilicman A., Generalization of Ando's Geometric Mean and and Related of Tracy-Singh Products of Positive Matrices. Proceedings of the International Conference on Quantitative Science and Its Applications (ICOQSIA 2005), University Utara Malaysia (UUM), Penang-Malaysia, UUM, 6-8 December 2005, Vol. 1 (2005), 1-10. |

[16] | Kilicman A. and Al Zhour Z., Kronecker Operational Matrices for Fractional Calculus and Some Applications. Proceedings of the International Symposium on Analytic Function Theorey, Fractional Calculus, and Their Applications in Honour of Prof. H.M Srivastava on his 65th Birth Anniversary, University of Victoria, Canada, 22-27 August 2005. |

[17] | Al Zhour Z. and Kilicman A., A New Algebraic Method for Solving the Transportation Problem Based on the Kronecker Product. Proceedings of the Simposium Kebangsaan Sains Matematik XII, International Islamic University (UIA), Kualalumpour-Malaysia, 23-24 December 2004, UIA, Vol. 2 (2004), 1-10. |

[18] | Kilicman A. and Al Zhour Z., On the Matrix Convolution Products and Some Applications. Proceedings of the International Conference on Generalized Functions 2004 : Topics in PDE, Harmonic Analysis and Mathematical Physics, University of Novi Sad, Novi Sad, Serbia, 22-28 September, 2004. |

[19] | Kilicman A. and Al Zhour Z., On the Matrix Convolution Product and Its Applications, Electronic Proceedings of "The 9th Asian Technology Conference in Mathematics (ATCM)", 13-17 December 2004, Singapore. |