J4 ›› 2012, Vol. 50 ›› Issue (05): 881-886.

• 数学 • 上一篇    下一篇

 求解二次锥规划问题的非精确光滑算法

于桃艳, 刘三阳, 蔡晓娜, 张菲   

  1. 西安电子科技大学 理学院, 西安 710071
  • 收稿日期:2011-12-24 出版日期:2012-09-26 发布日期:2012-09-29
  • 通讯作者: 刘三阳 E-mail:liusanyang@126.com

Inexact Smoothing Algorithm for SolvingSecondOrder Cone Programming Problems

YU Taoyan, LIU Sanyang, CAI Xiaona, ZHANG Fei   

  1. School of Science, Xidian University, Xi’an 710071, China
  • Received:2011-12-24 Online:2012-09-26 Published:2012-09-29
  • Contact: LIU Sanyang E-mail:liusanyang@126.com

摘要:

针对大规模二次锥规划问题提出一种非精确光滑算法.  该算法允许搜索方向有一定的误差, 在选择步长时采用非单调线性搜索策略. 证明了从任意点出发能得到算法的局部二次收敛速率.

关键词: 二次锥规划问题; 非精确光滑算法; 局部二次收敛

Abstract:

A new inexact smoothing algorithm for solving largescale secondorder cone programming problems(SOCP) was proposed. This algorithm allows the search direction to have the certain error, and the nonmonotone linear strategy is used to select the step length. The algorithm can get its local quadratic convergence from any point.

Key words: secondorder cone programming problems; inexact smoothing algorithm; local quadratic convergence

中图分类号: 

  • O29