Convergence Analysis of an Infeasible Interior Point Method for Second-order Cone Programming
In this paper, a primal-dual inexact infeasible interior point method is presented for solving thesecond-order cone programming (SOCP). This method does not require the feasibility of the iteration pointsand allows the use of inexact search directions. The closer the iterate is to the solution, the more accurate thesearch direction. The search directions still may be inexact even if the iterates happen to be primal feasible.Then the method is shown to possess global convergence.
second-order cone programming infeasible interior point method inezact search direction
Xiaoni Chi Sanyang Liu Suobin Zhang
College of Mathematics and Information Science, Huanggang Normal University,Huangzhou 438000, Hubei, Department of Mathematical Sciences, Xidian University, Xian 710071, China
国际会议
The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)
杭州
英文
354-359
2009-07-09(万方平台首次上网日期,不代表论文的发表时间)