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

Li-Zhi Liao ()
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Li-Zhi Liao: Hong Kong Baptist University

Journal of Optimization Theory and Applications, 2014, vol. 163, issue 2, No 11, 548-568

Abstract: 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.

Keywords: Continuous method; Affine scaling; Interior point method; Linear programming (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0495-1

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