期刊文献+

一类非单调线性互补问题的仿射尺度算法

A Affine Scaling Algorithm for a Class of Nonmonotonic Linear Complementary Problems
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摘要 对于一类非单调线性互补问题给出一种新的内点算法。算法的每一步迭代 ,利用线性规划的原始——对偶内点算法的思想求解一个线性方程组而得到迭代方向 ,再适当选取步长 ,使算法具有多项复杂性。 In this paper,a new interior point algorithm for a class of nonmonotonic linear complementary problems is developed. On the basis of idea of primal-dual affine scaling method for linear programming, the searth direction of our algorithm is obtained by a linear system of equation at each step We show that, by appropriately choosing the step size, the algorithm has polynomail time comlexity.
出处 《系统工程》 CSCD 北大核心 2002年第6期62-66,共5页 Systems Engineering
基金 教育部骨干教师基金资助项目 湖北省教育厅重点科研项目
关键词 非单调线性互补问题 仿射尺度算法 多项式算法 P矩阵 线性规划 Linear Complementary Problem Affine Scaling Method Computational Complexity P-matrix
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参考文献9

  • 1[1]Karmarkar N. A new polynomial-time algorithm for linear programming[J]. Combinatorica, 1984,4: 373-395.
  • 2[2]Ye Y. Interior point algorithm - theroy and analysis[M]. New York:John Wiley and Sons,1997.
  • 3[3]Monteiro R D C,Alder I. An extension of karmarkar type algorithm to a class of convex separable programming problem with global linear rate of convergence[J]. Mathematics of Operations Research, 1990,15: 408-422.
  • 4[4]Kortanek K O,Thu J. A polynomial barrier algorithm for linearly constrained convex programming problem[J].Mathematics of Operations Research, 1993,18: 116-127.
  • 5[5]Andersen E D,Ye Y. On homogeneous algorithm for the monotone complementary problem[J]. Mathematical Programming, 1999,84: 375-399.
  • 6[6]Monteir R D C. Prime-dual path-following algorithm for semidefinite programming[J]. SIAM Journal on Optimization, 1997,3: 663-678.
  • 7[7]Kojima M, Megiddo N, Ye Y. An interior-point potential reduction algorithm for the linear complementary problem[J]. Mathematical Programming, 1992,54: 267-279.
  • 8何尚录,徐成贤.求解一类非单调线性互补问题的路径跟踪法及其计算复杂性[J].计算数学,2001,23(3):299-306. 被引量:19
  • 9[9]Monteiro R D C,Alder I,Resende M G C. A polymomial-time primal-dual affine scaling algorithm for linear and convex quadrtic programming and its power series extension[J]. Mathematics of Operations Research, 1990,15:191-214.

二级参考文献3

  • 1Ye Y,Interior Point Algorithms:Theory and Analysis,1997年
  • 2Kojima M,Math Programming,1992年,54卷,267页
  • 3Cottle R,Linear Complementarity Problem,1992年

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