Free Access
Issue
RAIRO-Oper. Res.
Volume 18, Number 1, 1984
Page(s) 19 - 42
DOI https://doi.org/10.1051/ro/1984180100191
Published online 06 February 2017
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  • 2. J. ABADIE, Advances in Nonlinear Programming (Proceedings of the Eighth IFORS International Conferenceon Operational Research, K. B. HALEY, éd., North-Holland, Amsterdam, 1979, p. 900-930). [MR: 527921] [Zbl: 0393.90019]
  • 3. R. H. BARTELS, A Numerical Investigation of the Simplex Method (Thèse de l'Université de Stanford, 1968). [MR: 2617834]
  • 4. G. B. DANTZIG, Linear Programming and Extensions, Princeton University Press, Princeton, N.J., 1963. [MR: 201189] [Zbl: 0997.90504]
  • 5. J. J. FORREST et J. A. TOMLIN, Updaled Triangular Factors of the Basis to Maintain Sparsity in the Product Form Simplex Method, Math. Prog., vol. 2, 1972, p. 263-278. [MR: 307692] [Zbl: 0288.90048]
  • 6. D. GOLDFARB, On the Bartets-Golub Decomposition for Linear Programming Bases, Math. Prog., vol. 13, 1977, p. 272-279. [MR: 475829] [Zbl: 0379.90070]
  • 7. J. K. REID, A Sparsity-Exploiting Variant of the Bartels-Golub Decomposition for Linear Programming Bases, Math. Prog., vol. 24, 1982, p. 55-69. [MR: 667939] [Zbl: 0492.90050]
  • 8. M. A. SAUNDERS, The Complexity of LU Updating in the Simplex Method, R. S- ANDERSSEN et R. P. BRENT, éd., The Complexity of Computational Problem Solving, University Press, Queensland, 1976, p. 214-230. [MR: 503740]
  • 9. P. TOLLA, Contribution à l'Amélioration des Logiciels de Programmation Mathématique en Variables Réelles (Thèse de Doctorat d'État, Université Pierre-et-Marie-Curie, Paris, 1983).
  • 10. J. A. TOMLIN, Maintaining a Sparse Inverse in the Simplex Method ( Technical Report n° 70-16, Stanford University, Dpt. of O.R., Nov. 1970). [MR: 329624] [Zbl: 0258.90027]
  • 11. J. VIGNES, Implementation des Méthodes d'Optimisation: Test d'Arrêt Optimal, Contrôle et Précision de la Solution. Première partie : Aspect Méthodologique, RA.I.R.O., Recherche Opérationnelle, vol. 18, n° 1, 1984, p. 1-18 .Deuxième partie (à paraître). [EuDML: 104845] [MR: 737365] [Zbl: 0601.65052]

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