期刊文献+

求解框式约束下凸二次规划问题的内点算法 被引量:7

An Interior Point Algorithm for Convex Quadratic Programming Problem with Box Constraints
在线阅读 下载PDF
导出
摘要 对于框式凸二次规划问题给出了一个内点路径跟踪算法 ,该算法的迭代复杂度为 O( n L) ,每一步迭代所需计算量为 O( n3) ,其中 n为变量个数 。 It is presented that a path following interior point algorithm for convex quadratic programming problems,whose variables are subject to box, i.e. upper and convex bounds. The iteration complexity is O(nL) , and the number of arithmetic operations per iteration is bounded by O(n 3) ,where n denotes the number of variables,and L is the import length.
出处 《复旦学报(自然科学版)》 CAS CSCD 北大核心 2000年第1期36-40,共5页 Journal of Fudan University:Natural Science
基金 国家自然科学基资助项目!( 1 9871 0 1 6)
关键词 框式二次规划 路径跟踪算法 凸二次规划 box type convex quadratic programming problem path following interior point algorithm computational complexity
  • 相关文献

参考文献1

  • 1Renato D C M,Math Programming,1989年,4 4卷,27页

同被引文献31

  • 1崔明根,权光日.不相容线性方程组极小极大解的一种新算法[J].计算数学,1996,18(4):349-354. 被引量:5
  • 2[3]Lucia A,Xu J.Chemical process optimization using Newton-like methods[J].Computers Chem Engng,1990,14(2):119-138.
  • 3[4]Warners J P,Terlaky T,Roos C,et al.Operations Research Letters[J].1997,21:55-64.
  • 4MEHROTRA S. On the implementation of a primal-dual interior point method [J]. SIAM J Optim, 1992,2 (4):576-601.
  • 5KOJIMA M,MEGIDDO N,MIZUNO S. A primal-dual infeasible-interior-point algorithm for linear programming [J]. Mathematical Programming, 1993,61 (2): 263-280.
  • 6MIZUNO S. Polynomiality of infeasible-interior-point algorithm for linear programming [J]. Mathematicl Programming,1994,67 (1):109-119.
  • 7ZHANG Y.On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem[J].SIAM J Option,1994,4(1):208-227.
  • 8方述成.线性优化及扩展理论与方法[M].北京:科学出版社,1994.204-205.
  • 9Karmarkar N. A new polynomial algrithm for linear program[ J]. Combinatoric, 1984,4:373 ~ 395.
  • 10Monteiro R C, Adler I. Interior path following primal-dual algorithms [ J ]. Mathemaical Programming, 1989,44:27 ~41.

引证文献7

二级引证文献11

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