Numerical Experiments with universal barrier functions for cones of Chebyshev systems

Leonid Faybusovich (leonid.faybusovich.1nd.edu)
Thanasak Moutonglang (thanasakmath.science.cmu.ac.th)
Takashi Tsuchiya (tsuchiyasun312.ism.ac.jp)

Abstract: Based on previous explicit computations of universal barrier functions, we describe numerical experiments for solving certain classes of convex optimization problems. The comparison is given of the performance of the classical affine-scaling algorithm with similar algorithm based upon the universal barrier function

Keywords: Affine-scaling algorithm, approximations of universal barrier functions

Category 1: Infinite Dimensional Optimization (Semi-infinite Programming )

Category 2: Convex and Nonsmooth Optimization (Convex Optimization )

Category 3: Linear, Cone and Semidefinite Programming

Citation: To appear in "Computational Optimization and Applications"

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Entry Submitted: 02/23/2006
Entry Accepted: 02/23/2006
Entry Last Modified: 12/12/2006

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