期刊文献+

求解线性规划的一个非内点算法 被引量:3

A non-interior point algorithm for linear programming
下载PDF
导出
摘要 利用NCP函数和光滑化方法将线性规划的K-K-T条件化为一个光滑方程组,构造了一个非内点原-对偶路径跟踪算法,并分析了其全局及局部收敛性;同时通过计算标准线性规划考题,验证了它的可行性及有效性. A NCP function and smoothing methods are used to convert the optimality conditions of linear programming into a smooth system of equations, and a non-interior point path following algorithm is developed. For this algorithm, its global and local quadratic convergence analysis is presented, and its feasibility and efficiency are validated by computing the Netlib test problems.
出处 《大连理工大学学报》 EI CAS CSCD 北大核心 2004年第2期176-180,共5页 Journal of Dalian University of Technology
基金 国家基础性研究发展规划资助项目(G1999032805).
关键词 线性规划 NCP函数 光滑化方法 非内点原-对偶路径跟踪算法 linear programming non-interior point algorithm NCP function smoothing methods smoothing path
  • 相关文献

参考文献7

  • 1[1]KARMARKAR N K. A new polynomial-time algorithm for linear programming [J]. Combinatorica, 1984, 4: 373-395. 被引量:1
  • 2[2]PENG J M, ROOS C, TERLAKY T. Self-regular proximities and new search directions for linear and semi-definite optimization [J]. Math Programming, 2002, 93: 129-171. 被引量:1
  • 3[3]LI X S. An entropy-based aggregate method for min-max optimization [J]. Eng Optim, 1992, 18: 277-285. 被引量:1
  • 4[4]CHEN C H, MANGASARIAN O L. A class of smoothing functions for non-linear and mixed complementarity problems [J]. Comput Optim and Appl, 1996, 5: 97-138. 被引量:1
  • 5[5]PENG J M, LIN Z H. A non-interior-point continuation method for generalized linear complementarity problems [J]. Math Programming, 1999, 86: 533-563. 被引量:1
  • 6[6]ENGELKE S, KANZOW C. Predictor-corrector Smoothing Methods for the Solution of Linear Programs [R]. Hamburg: University of Hamburg, 2000. 被引量:1
  • 7[7]CHEN B T, XIU N H. A global linear and local quadratic non-interior point continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing functions [J]. SIAM J on Optim, 1999, 9: 605-623. 被引量:1

同被引文献12

  • 1范小勇,梁樑.基于整数规划方法的组合双向拍卖最优化模型[J].中国管理科学,2005,13(5):44-48. 被引量:10
  • 2F.H. Clarke. Optimization and Nonsmooth Analysis [M]. John Wiley & Sons, New York, NY, 1983,reprinted by SIAM, Philadelphia, PA, 1990. 被引量:1
  • 3李人厚 张平安等译.精通MATLAB综合辅导与指南[M].西安:西安交通大学出版社,1998.. 被引量:15
  • 4ENGELKE S,KANZOW C.Predictor-Corrector Smoothing Methods for Linear Programs with a More Flexible Update of the Smoothing Parameter[R].Preprint 162,Department of Mathematics,University of Hamburg,Hamburg,2001. 被引量:1
  • 5KANZOW C,NAGEL C.Quadratic convergence of a nonsmooth Newton-type method for semidefinite programs without strict complementarity[J].SIAM Journal on Optimization,2005,15(3):654-672. 被引量:1
  • 6FISCHER A.A special Newton-type optimization method[J].Optimization,1992,24:269-284. 被引量:1
  • 7TSENG P.Merit functions for semi-definite complementarity problems[J].Math Programs,1998,83:159-185. 被引量:1
  • 8KANZOW C,NAGEL C.Semidefinite programs:New search directions,smoothing-type methods and numerical results[J].SIAM Journal on Optimization,2003,13:1-23. 被引量:1
  • 9CHEN Xin,TSENG P.Non-interior continuation methods for solving semidefinite complementarity problems[J].Math Program,2003,95A:431-474. 被引量:1
  • 10钱伟懿,王宏杰,杨宇,杨菊.求解非线性优化问题改进的进化规划算法[J].辽宁工程技术大学学报(自然科学版),2008,27(1):155-157. 被引量:2

引证文献3

二级引证文献2

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