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Derbal, Louiza

Statistics Math-Net.Ru
Total publications: 1
Scientific articles: 1

Number of views:
This page:57
Abstract pages:187
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References:22
Researcher
PhD
Speciality: 01.01.00 (Mathematics)
Birth date: 10.03.1971
Website: https://www.univ-setif1.dz
Keywords: Kernel function, Interior point algorithms, Linear optimization, Complexity bound, Primal-dual methods.

Subject:

Theoretical and numerical result for linear optimization problem based on a new parameterized kernel function

Biography

Y.Q. Bai, M El. Ghami, C. Roos, A comparative study of kernel functions for primal-dual interior-point algorithms in linear optimization, SIAM Journal on Optimization 15 (1) (2004) 101--128.

2 : D. Den Hertog, Interior point approach to linear, quadratic, and convex programming, in: Mathematics and its Applications, vol. 277, Kluwer Academic Publishers, Dordrecht, 1994.

3 : N.K. Karmarkar, A new polynomial-time algorithm for linear programming, in: Proceedings of the 16th Annual ACM Symposium on Theory of Computing, 1984, pp. 302 311

4 : A.Keraghel, Etude adaptative et comparative des principales variantes dans l'algorithme de karmarkar, Thèse de Doctorat, Université de Joseph Fourier -Grenoble I, France, (1989).

5 : J. Peng, C. Roos, T. Terlaky, Self-Regularity: A New Paradigm for Primal-Dual Interior-Point Algorithms, Princeton University Press, 2002.

6 : Z.G.Qian& Y.Q. Bay, Primal-dual Interior-Point Algorithms with Dynamic Step SizeBased on kernel functions for linear Programming, Journal of Shanghai University,(2005), 9(5), 391-396.

7 : C. Roos, T. Terlaky, J.-Ph. Vial, Theory and Algorithms for Linear Optimization. An Interior-Point Approach, John Wiley & Sons, Chichester, UK, 1997.

8 : C. Roos, T. Terlaky, J. Ph. Vial, Theory and algorithms for linear optimization, in: An Interior-Point Approach, John Wiley & Sons, Chichester, UK, 1997.

9 : G. Sonnevend, An "analytic center" for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming, in: A. Prekopa, J. Szelezsan, B. Strazicky (Eds.), System Modelling and Optimization: Proceedings of .

10 : R.J. Vanderbei, Linear Programming, Foundations and Extensions, 2nd ed., in: International Series in Operations Research and Management Science, vol. 37, 1997.

11 : Y. Ye, Interior Point Algorithms, Theory and Analysis, John Wiley and Sons, Chichester, UK, 1997.


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Publications in Math-Net.Ru Citations
2019
1. Louiza Derbal, Zakia Kebbiche, “Theoretical and numerical result for linear optimization problem based on a new kernel function”, J. Sib. Fed. Univ. Math. Phys., 12:2 (2019),  160–172  mathnet  isi 1

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