Books

  1. Mohamed El Ghami. A kernel function approach for interior point methods: Analysis and Implementation.. LAP Lambert Academic Publishing, Germany, NP. 168, ISBN-NR: 978-3-8443-3333-6, 2011. Book.


    Journal Papers

  2. M. El Ghami Z. A. Guennoun, S. Bouali and T. Steihaug, Primal-Dual Interior-Point Methods for Linear Optimization Based on a Kernel Function with Trigonometric Barrier Term. in Press Journal of Computational and Applied Mathematics, May, 2011. Paper

  3. Mohamed El Ghami and Trond Steihaug, Kernel-function Based Primal-Dual Algorithms for P*(&kappa) Linear complementarity problems. International Journal RAIRO-Operations Research, 44(3), pp. 185-205, 2010. Paper

  4. J.B.M. Melissen and M. El Ghami. A sequence of sharp trigonometric inequalities.Submitted to the international Journal IJPAM,2007.

  5. Mohamed El Ghami, Cornelis Roos and Trond Steihaug, A generic primal-dual interior-point method for semidefinite optimization based on a new class of kernel functions. Optimization Methods and Software; Volume 25, No. 3, pp. 387-403, 2010. Paper (pdf).

  6. Mohamed El Ghami and Trond Steihaug, Interior Point Methods for Self-Dual Linear Optimization Problems Based on Kernel Functions. Mathematica Balkanica; Volume 23.(3-4). pp. 229-248. 2009. Paper.

  7. Mohamed El Ghami, Yanqin Bai and Cornelis Roos, Kernel-function Based Algorithms for Semidefinite Optimization. RAIRO. Recherche operationnelle; Volume 43.(2). pp. 189-199. 2009. Paper (pdf).

  8. Mohamed El Ghami, Ivan Ivanov, Hans Melissen Cornelis Roos and Trond Steihaug, A polynomial-time algorithm for linear optimization based on a new class of kernel functions. Journal of Computational and Applied Mathematics; Volume 224.(2). pp. 500-513. 2009. Paper (pdf).

  9. Yangin Bai, Goran Lesaja, Cornelis Roos, Guo-Qiang and Mohamed El Ghami, A class of large-update and small-update primal-dual interior-point algorithms for linear optimization. Journal of Optimization Theory and Applications; Volume 138.(3). pp. 341-359. 2008. Paper (pdf).

  10. Mohamed El Ghami, Ivan Ivanov, Cornelis Roos and Trond Steihaug, A polynomial-time algorithm for LO based on generalized logarithmic barrier functions. International Journal of Applied Mathematics; Volume 21.(1). pp. 99-115. 2008. Paper (pdf).

  11. Mohamed El Ghami and Cornelis Roos, Generic primal-dual interior point methods based on a new kernel function. RAIRO. Recherche operationnelle; Volume 42.(2), pp. 199-213. 2008. Paper (pdf).

  12. Yanqin Bai Mohamed El Ghami and Cornelis Roos, A Comparative Stady of New Barrier Functions for Prima-Dual Interior-Point Algorithms in Linear Optimization. SIAM Journal on Optimization, 15(1):101-128, 2004. Paper (pdf).

  13. Yanqin Bai, Mohamed El Ghami and Cornelis Roos, A New Effiecient Large-Update Primal-Dual Interior-Point Method Based on a Finite Barrier. SIAM Journal on Optimization, 13(3):766-782, 2003. Paper (pdf).

  14. Yanqin. Bai, Cornelis Roos and Mohamed El Ghami , A Primal-Dual Interior-Point method for linear optimization based on a new proximity function , Optimization Methods and Software, Volume 17, No. 6, pp. 985-1008, 2002. Paper (pdf).


    Proceedings Papers


  15. Lennart Frimannslund, Mohamed El Ghami, Mohammed A. Alfaki and Dag Haugland, Solving the Pooling Problem with LMI Relaxations. Proceedings of TOGO2010, pp. 51-54, 2010. Paper (pdf).

  16. Mohamed El Ghami, Ivan Ivanov and Trond Steihaug, Primal-dual interior-point methods solver based on kernel functions for Linear Optimization. IEEE CNF Proceedings of the International Multiconference on Computer Science and Information Technology; pp. 743-749. 2009. Paper (pdf).

  17. Mohamed El Ghami and Trond Steihaug, An Implementation of Interior-Point Methods Based on Kernel Functions for Linear Optimization. NIK 2009. Tapir Akademisk Forlag 2009 ISBN 978-82-519-2491-7, pp. 159-170. 2009. Conference 2009.

  18. Mohamed El Ghami, Ivan Ivanov, Hans Melissen Cornelis Roos and Trond Steihaug, Primal-Dual Algorithm for Linear Optimization Problems Based on a New Class of Kernel Functions. Proceedings of the IEEE Symposium on Computers and Communications 2008, pp. 722-729. 2008. Paper (pdf).

  19. Mohamed El Ghami, Trond Steihaug and Cornelis Roos, Primal-Dual IPMS for semidefinite optimization based on finite barrier functions. Conférence scientific conjointe en Recherche Opérationelle et Aide à la Décision FRANCORO V / ROADEF 2007. Grenoble: Presses universitaires de Grenoble 2007 ISBN 978-2-7061-1397-0. pp. 69-82. 2007. Conference Paper (pdf).

  20. Mohamed El Ghami and Cornelis Roos.
    Primal-dual Interior Point Methods Based on a New Kernel Function.In A. Benchakroun and A. Mansouri, editors, Proceedings of the International Conference in Operations Recherch CIRO'05,
    Theory and applications, pages 15--29, Rabat, Morocco, December 2005. Impression Kawtar Print.


    Thesis


  21. Mohamed El Ghami. New Primal-dual Interior-point Methods Based on Kernel Functions. Technical University Delft, The Netherlands, October 2005} (PhD. Thesis) PhD Thesis (pdf).

  22. Mohamed El Ghami. Condition necessaires d'optimalite de promiere ordere en optimisation non reguliere. University Mohammed V, Rabat, December, 1996} (CEA Report Available in French only) Master Thesis (CEA) (pdf).

Last modified: February 5, 2012 by M. El Ghami