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Annals of Operations Research

, Volume 22, Issue 1, pp 55–70 | Cite as

A unified view of interior point methods for linear programming

  • David F. Shanno
  • Ansuman Bagchi
Article

Abstract

The paper shows how various interior point methods for linear programming may all be derived from logarithmic barrier methods. These methods include primal and dual projective methods, affine methods, and methods based on the method of centers. In particular, the paper demonstrates that Karmarkar's algorithm is equivalent to a classical logarithmic barrier method applied to a problem in standard form.

Keywords

Standard Form Interior Point Projective Method Point Method Interior Point Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© J.C. Baltzer AG, Scientific Publishing Company 1990

Authors and Affiliations

  • David F. Shanno
    • 1
  • Ansuman Bagchi
    • 1
  1. 1.RUTCOR, Rutgers UniversityNew BrunswickUSA

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