期刊文献+

一类线性约束凸规划问题的一个原始-对偶内点算法

A Primal-dual Interior Point Algorithm for a Class of Convex Programming Problems with Linear Constraints
下载PDF
导出
摘要 对一类具有线性约束的凸规划问题给出了一个原始-对偶内点算法,该算法可在任一原始-对偶可行内点启动,并且全局收敛.当初始点靠近中心路径时,便成为中心路径跟踪算法.数值算例表明该算法是有效的. In this paper, a primal-dual interior point algorithm is presented for a class of convex programming problems with linear constrains. It can be implemented at any primal-dual interior feasible point and reaches the global convergence.If the initial point is close to the central path, it becomes a central path-following algorithm. The results of numerical tests show the effectiveness of the algorithm.
作者 张艺
机构地区 宁波大学理学院
出处 《宁波大学学报(理工版)》 CAS 2013年第2期103-107,共5页 Journal of Ningbo University:Natural Science and Engineering Edition
基金 浙江省海洋与渔业项目(ZHYF201102) 浙江省教育厅科研项目(Y201119382) 宁波大学学科科研项目(XKl060)
关键词 凸规则 内点算法 原始-对偶 路径跟踪 convex programming interior point algorithm primal-dual path-following
  • 相关文献

参考文献8

  • 1Karmarkar N. A new polynomial algrithm for linear program[J]. Combinatoric, 1984, 4:373-395.
  • 2方述诚,S.普森普拉.线性优化及扩展理论与算法[M].北京:科学出版社.1994.
  • 3Monteiro R D C, Adler I. Interior path following primal-dual algorithms[J]. Mathemaical Programming, 1989, 44:27-41.
  • 4Monteiro R D C, Adler I. An extension of karmarkar type algorithm to a class of convex separable programming problems with global linear rate of convergence[J]. Mathematics of Operations Research, 1990, 15:408-422.
  • 5Jansen B, Roos C, Terlaky T, et al. Polynomiality of primal-dual affine scaling algorithm for nonlinear complementarity problems[J]. Mathematical Programming, 1997, 78:315-345.
  • 6Yu Q, Huang C C, Jiang Y. A polynomial predietor- corrector interior-point algorithm for convex quadratic programming[J]. Acta Mathematica Scientia, 2006, 26B(2):263-270.
  • 7Renegar J. A mathematical view of interior-poit method in convex optimization[M]. Philadelphia PA: Mathematical Programming Society, 2001.
  • 8金正静,白延琴,韩伯顺.求解凸二次规划问题的一种加权路径跟踪内点算法[J].运筹学学报,2010,14(1):55-65. 被引量:5

二级参考文献1

共引文献8

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