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A Study of the Dual Affine Scaling Continuous Trajectories for Linear Programming

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  • Li-Zhi Liao

    (Hong Kong Baptist University)

Abstract

In this paper, a continuous method approach is adopted to study both the entire process and the limiting behaviors of the dual affine scaling continuous trajectories for linear programming. Our approach is different from the method presented by Adler and Monteiro (Adler and Monteiro, Math. Program. 50:29–51, 1991). Many new theoretical results on the trajectories resulting from the dual affine scaling continuous method model for linear programming are obtained.

Suggested Citation

  • Li-Zhi Liao, 2014. "A Study of the Dual Affine Scaling Continuous Trajectories for Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 548-568, November.
    • Handle: RePEc:spr:joptap:v:163:y:2014:i:2:d:10.1007_s10957-013-0495-1
    DOI: 10.1007/s10957-013-0495-1
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    References listed on IDEAS

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    1. Michael J. Todd, 1990. "A Dantzig-Wolfe-Like Variant of Karmarkar's Interior-Point Linear Programming Algorithm," Operations Research, INFORMS, vol. 38(6), pages 1006-1018, December.
    2. Nimrod Megiddo & Michael Shub, 1989. "Boundary Behavior of Interior Point Algorithms in Linear Programming," Mathematics of Operations Research, INFORMS, vol. 14(1), pages 97-146, February.
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