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

Lizhi LIAO*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)548-568
Number of pages21
JournalJournal of Optimization Theory and Applications
Volume163
Issue number2
DOIs
Publication statusPublished - 7 Oct 2014

Scopus Subject Areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

User-Defined Keywords

  • Affine scaling
  • Continuous method
  • Interior point method
  • Linear programming

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