期刊文献+

线性互补问题的一种非内点连续方法的收敛性分析

Convergence analysis of a noninterior point continuation method for linear complementarity problem
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摘要 对P0矩阵线性互补问题提出了一个基于Chen Harker Kanzow Smale光滑函数的非内点连续算法,该算法在每次迭代时只需求解一个线性等式组,并证明了算法的全局线性收敛性和局部二次收敛性. Based on ChenHarkerKanzowSmale smoothing function, a noninterior point algorithm for P0matrix linear complementarity problem is presented. At each iteration, only one system of linear equations needs to be solved, and its global linear convergence and local quadratic convergence are proved. 
出处 《宁夏大学学报(自然科学版)》 CAS 2003年第1期19-22,共4页 Journal of Ningxia University(Natural Science Edition)
基金 国家自然科学基金资助项目(69972036) 陕西省自然科学基金资助项目(2000SL03)
关键词 线性互补问题 非内点连续方法 P0矩阵 全局线性收敛性 局部二次收敛性 向量 P_0-matrix linear complementarity problem global linear convergence local quadratic convergence
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参考文献6

  • 1Burke J, Xu S. The global linear convergence of a noninterior path-following algorithm for linear complementarity problem[J] .Math Oper Res, 1998,23:719.
  • 2Chen B, Xiu N. Superlinear noninterior one-step continuation method for monotone LCP in the absence of strict complementarity [J] .J Oplim Theo Appl,2001,108:317.
  • 3Burke J, Xu S. A noninterior predictor-corrector path-following algorithm for the monotone linear complementarity problem[J]. Math Program,2000,87: 113.
  • 4Kanzow C. Some noninterior continuation methods for linear complementarity problems [J]. SIAM J Matrix Anal Appl,1996,17:851.
  • 5Clarke F H. Optimization and nonsmooth analysis [ M ].NewYork: John Wiley & Sons-Interscience, 1983.5 - 48.
  • 6Facchinei F, Fisher A, Kanzow A, et al. A simply constrained optimization reformulation of KKT systems arising from variational inqualities [J] .Appl Math Optim, 1999,40: 19.

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