期刊文献+

求解一类特殊的极小化距离和问题的方法

A Method for Minimizing a Sum of Special Distances
下载PDF
导出
摘要 将一类特殊的极小化距离和问题转化为与之等价的单调线性变分不等式,提出了一类预测校正方法,采用Gauss-Seidel迭代形式产生预测值,由校正步产生新的迭代点,并把这种算法应用于Steiner最小树问题。 Solving the problem of minimizing a sum of special distances is equivalent to solving a monotone variational inequality. In this paper, we present a prediction-correction method for solving this problem. The Gauss-Seidel form is used to produce a predictor and generate the new iterate at the correction step. The algorithm can be applied in SMT problem.
作者 周莉
出处 《苏州科技学院学报(自然科学版)》 CAS 2009年第2期10-15,共6页 Journal of Suzhou University of Science and Technology (Natural Science Edition)
关键词 单调变分不等式 预测-校正方法 SMT问题 monotone variational inequality prediction-correction method SMT problem
  • 相关文献

参考文献6

  • 1Xue G L,Ye Y Y. An efficient algorithm for minimizing a sum of Euclidean norms with applications[J]. SIAM J Optim, 1997,7 : 1017-1036.
  • 2Xue G L,Ye Y Y. An efficient algorithm for minimizing a sum of p-norms[J]. SIAM J Optim,2000,10:551-579.
  • 3Qi L, Sun D ,Zhou G. A primal-dual algorithm for minimizing a sum of Euclidean norms[J]. J Computational and Applied Mathematics,2002,138: 127-150.
  • 4Dimitri P Bertsekas,John N Tsitsiklis. Parallel and Distributed Computation:Numerical Methods[M]. Englewood Cliffs,NJ :Prentice-Hall, 1989.
  • 5He B S,Liao L Z. Improvements of some projection methods for monotone nonlinear variational inequalities[J]. Journal of Optimization Theory and Applications,2002,112 : 111-128.
  • 6He B S. A uniform framework of a class of prediction-correction methods for monotone variational inequalities[J]. Journal of Nanjing University, 2003,39: 451-459.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部