Mathematical Programming

, Volume 17, Issue 1, pp 391–397 | Cite as

Updated triangular factors of the working basis in winkler's decomposition approach

  • M. Bastian
Short Communication

Key words

Decomposition Forrest-Tomlin Update Large Scale LP Linear Programming Triangular Factors 

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References

  1. [1]
    M. Bastian, “Basisfaktorisierung bei dünn besetzten strukturierten Koeffizientenmatrizen”, in: R. Henn et al., eds.,Operations Research Verfahren XXVIII (Hain, Meisenheim, 1978) pp. 299–315.Google Scholar
  2. [2]
    M. Benichou, J.M. Gauthier, G. Hentges and G. Ribière, “The efficient solution of large-scale linear programming problems—some algorithmic techniques and computational results”,Mathematical Programming 13 (1977) 280–322.Google Scholar
  3. [3]
    J.J.H. Forrest and J.A. Tomlin, “Updated triangular factors of the basis to maintain sparsity in the product form simplex method”,Mathematical Programming 2 (1972) 263–278.Google Scholar
  4. [4]
    J.A. Tomlin, “Modifying triangular factors of the basis in the simplex method”, in: D.J. Rose and R.A. Willoughby, eds.,Sparse matrices and their applications (Plenum Press, New York, 1972) pp. 77–85.Google Scholar
  5. [5]
    C. Winkler: “Basis factorization for block-angular linear programs: unified theory of partitioning and decomposition using the simplex method”, Tech. Rept. SOL 74-19, Department of Operations Research, Stanford University, Stanford (1974).Google Scholar

Copyright information

© North-Holland Publishing Company 1979

Authors and Affiliations

  • M. Bastian
    • 1
  1. 1.Rheinisch-Westfälische Technische Hochschule AachenF.R.G.

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