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Communications

2020
Djeffal E-A. The best known interior point algorithm for thec linear optimization. 3rd International Conference on Mathematics and Statistics, February 6-8, American University of Sharijah. 2020.
2019
Abdelhadi S. Existence of solution for nonlinear wave equation with variable exponents. Journée Nationale sur les Mathématiques Appliquées (JNMA'1.9). 2019.
Djeffal E-A. An efficient procedure interior point method based on a new kernel function for linear complemntarity problem. 25th International Conference on Multiple Criteria Decision-Making(ICMCDM 2019),jun, 16-21, Istanbul Technical University,. 2019.
Djeffal E-A. A projective methods to nsolvean optimization problem. 3ème Colloque International sur la Théorie des Opérateurs, EDP et ses Applications(CITO’2019, ), 24-25 avril ,. 2019.
2018
Ghegal S. Global existence of a non linear wave equation with variable damping and source terms,. Congrès des Mathématiques Algériens (CMA’2018). 2018.
 Abdelhadi S. Blow up of the wave equation with nonlinear first order perturbation. The 7 th Abu Dhabi University Annual International Conference (ADUAIC’18). 2018.
Abdelhadi S. Blowup of second order hyperbolic equation with variable damping and source terms. International Conference on Operator Theory (ICOT’2018). 2018.
Ghegal S. Stability of a non linear wave equation with variable damping and source terms. International Conference on Operator Theory (ICOT’2018). 2018.
Djeffal E-A. A full Newton step interior point method for circular cone optimization. International Conference on Operator Theory( ICOT-2018), 30 April-03 May,. 2018.
2017
Djeffal E-A. An interior point algorithm for the p*(k) matrix horizontal LCP. International Conference on Advances in Applied Mathematics(ICAAM 2017), December 18-21. 2017.
Djeffal E-A. Interior –point algorithm for HLCPs based on new trigonometric kernel function. International Conference on Applied Analysis and Mathematical Modeling( ICAAMM 2017), july 03-07, Istanbul Gelisim University. 2017.
2016
Djeffal E-A. A projective interior point algorithm for the linear complementarity problem. International Conference on Advances in Applied Mathematics(ICAAM 2016), 19-22 Décembre2. 2016.
Djeffal E-A. A modified newton direction for the linear optimization problem. 2ème Colloque International sur la Théorie des Opérateurs, EDP et ses Applications, 23-24 novembre (CITO’2016). 2016.
Djeffal E-A. A new approach of the cutting plane algorithm using interior point method. 2nd International Conference on Analysis and its Application(ICAA’2016), July-12-15. 2016.
Djeffal E-A, Djeffal L, Benoumelaz F. New Complexity Analysis of the Path Following Method for Linear Complementarity Problem, in Intelligent Mathematics II: Applied Mathematics and Approximation Theory. Vol 441. ; 2016 : 87–104. Publisher's VersionAbstract

In this paper, we present an interior point algorithm for solving an optimization problem using the central path method. By an equivalent reformulation of the central path, we obtain a new search direction which targets at a small neighborhood of the central path. For a full-Newton step interior-point algorithm based on this search direction, the complexity bound of the algorithm is the best known for linear complementarity problem. For its numerical tests some strategies are used and indicate that the algorithm is efficient.

2015
Djeffal E-A. Theoritical and numerical study of interior point methods for semi definite quadratic optimization based on kernel function. International Conference on Advances in Applied Mathematics (ICAAM 2015) December 21-24, . 2015.