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On the worst case complexity of potential reduction algorithms for linear programming

Author

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  • Bertsimas, Dimitris.
  • Luo, Xiaodong.

Abstract

Includes bibliographical references (p. 16-17).

Suggested Citation

  • Bertsimas, Dimitris. & Luo, Xiaodong., 1993. "On the worst case complexity of potential reduction algorithms for linear programming," Working papers 3558-93., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  • Handle: RePEc:mit:sloanp:2464
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    File URL: http://hdl.handle.net/1721.1/2464
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    References listed on IDEAS

    as
    1. ANSTREICHER, Kurt M., 1991. "On the performance of Karmarkar's algorithm over a sequence of iterations," LIDAM Reprints CORE 927, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Kurt M. Anstreicher, 1989. "The Worst-Case Step in Karmarkar's Algorithm," Mathematics of Operations Research, INFORMS, vol. 14(2), pages 294-302, May.
    3. Michael J. Todd & Yinyu Ye, 1988. "A Centered Projective Algorithm for Linear Programming," Cowles Foundation Discussion Papers 861, Cowles Foundation for Research in Economics, Yale University.
    Full references (including those not matched with items on IDEAS)

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    1. Freund, Robert Michael., 1989. "A potential-function reduction algorithm for solving a linear program directly from an infeasible "warm start"," Working papers 3079-89., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    2. Michael J. Todd & Yinyu Ye, 1988. "A Centered Projective Algorithm for Linear Programming," Cowles Foundation Discussion Papers 861, Cowles Foundation for Research in Economics, Yale University.
    3. Bosch, Ronald J. & Ye, Yinyu & Woodworth, George G., 1995. "A convergent algorithm for quantile regression with smoothing splines," Computational Statistics & Data Analysis, Elsevier, vol. 19(6), pages 613-630, June.

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    Keywords

    HD28 .M414 no.3558-; 93;

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