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A modified algorithm for the strict feasibility problem

Published online by Cambridge University Press:  15 August 2002

D. Benterki  and
B. Merikhi
D. Benterki
Affiliation:
Département de Mathématiques, Faculté des Sciences, Université Ferhat Abbas, Sétif, 19000 Algérie.
B. Merikhi
Affiliation:
Département de Mathématiques, Faculté des Sciences, Université Ferhat Abbas, Sétif, 19000 Algérie.
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Abstract

In this note, we present a slight modification of an algorithm for thestrict feasibility problem. This modification reducesthe number of iterations.

Keywords

Strict feasibilityinterior point methodsYe–Lustigalgorithm.

Information

Type
Research Article
Information
RAIRO - Operations Research , Volume 35 , Issue 4 , October 2001 , pp. 395 - 399
Copyright
© EDP Sciences, 2001

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References

D. Benterki, Étude des performances de l'algorithme de Karmarkar pour la programmation linéaire. Thèse de Magister, Département de Mathématiques, Université de Annaba, Algérie (1992).
J.C. Culioli, Introduction à l'optimisation. Édition Marketing, Ellipses, Paris (1994).
I.J. Lustig, A pratical approach to Karmarkar's algorithm. Technical report sol 85-5, Department of Operations Research Stanford University, Stanford, California.
A. Keraghel, Étude adaptative et comparative des principales variantes dans l'algorithme de Karmarkar, Thèse de Doctorat de mathématiques appliquées. Université Joseph Fourier, Grenoble, France (1989).
Shanno, D.F. and Marsten, R.E., A reduced-gradient variant of Karmarkar's algorithm and null-space projections. J. Optim. Theory Appl. 57 (1988) 383-397. CrossRef
S.J. Wright, Primal-dual interior point method. SIAM, Philadelphia, PA (1997).