On some properties and an application of the logarithmic barrier method

被引：0
|
作者：
Regina S. Burachik
L. M. Graña Drummond
Susana Scheimberg
机构：
[1] University of South Australia,School of Mathematics and Statistics
[2] FACC–UFRJ,Instituto de Matematica, IM, UFRJ
[3] Programa de Engenharia de Sistemas de Computação,undefined
[4] COPPE-PESC,undefined
来源：
Mathematical Programming | 2008年 / 111卷
关键词：
Logarithmic barrier; Central path; Nonsmooth convex optimization; Point-to-set theory; Convex vector optimization; Efficiency; 90C25; 90C51; 90C29;
D O I：
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学科分类号：
摘要：
We analyze the logarithmic barrier method for nonsmooth convex optimization in the setting of point-to-set theory. This general framework allows us to both extend and include classical results. We also propose an application for finding efficient points of nonsmooth constrained convex vector-valued problems.
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页码：95 / 112
页数：17
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