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  • 标题:Barrier subgradient method
  • 本地全文:下载
  • 作者:Yu. NESTEROV
  • 期刊名称:CORE Discussion Papers / Center for Operations Research and Econometrics (UCL), Louvain
  • 出版年度:2008
  • 卷号:1
  • 出版社:Center for Operations Research and Econometrics (UCL), Louvain
  • 摘要:In this paper we develop a new primal-dual subgradient method for nonsmooth convex optimization problems. This scheme is based on a self-concordant barrier for the basic feasible set. It is suitable for finding approximate solutions with certain relative accuracy. We discuss some applications of this technique including fractional covering problem, maximal concurrent flow problem, semidefinite relaxations and nonlinear online optimization.
  • 关键词:convex optimization, subgradient methods, non-smooth optimization, minimax problems, saddle points, variational inequalities, stochastic optimization, black-box methods, lower complexity bounds.
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