The Affine-Scaling Method

  • Robert J. Vanderbei
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 196)


In the previous chapter, we showed that the step direction for the path-following method can be decomposed into a linear combination of three directions: a direction toward optimality, a direction toward feasibility, and a direction toward centrality. It turns out that these directions, or minor variants of them, arise in all interior-point methods.


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Robert J. Vanderbei
    • 1
  1. 1.Department of Operations Research and Financial EngineeringPrinceton UniversityPrincetonUSA

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