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广义拟补问题的迭代算法及其收敛性分析 被引量：1

An Iterative Algorithm and the Convergence Analysis of Generalized Complementarity Problems
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摘要 通过改变变量法建立了一类广义拟补问题与Wiener-Hopf方程的等价关系。运用该等价关系,研究了广义相补问题的迭代算法以及收敛性分析,推广了文献中的相应结果。 In this paper, we have established an equivalence between the generalized complementarity problems and the Wiener-Hopf equations by using a change of variable technique. This equivalence is used to suggest a more general iterative algorithm and the convergence analysis of the iterative method. These results improve the corresponding results of Noor in ref.
作者 黄建蓉
机构地区 重庆师范大学数学与计算机科学学院 重庆
出处 《重庆师范大学学报（自然科学版）》 CAS 2006年第3期23-25,29,共4页 Journal of Chongqing Normal University:Natural Science
基金 重庆市教委资助项目
关键词 广义拟补问题 WIENER-HOPF方程 改变变量法 迭代算法 收敛性分析 不动点 强单调 Lipsehitz连续 generalized complementarity problems the Wiener-Hopf equations change of the variables itemtive algorithm the convergence analysis fixed points strongly monotone Llipschitz continuous
分类号 O177.92 [理学—基础数学]
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参考文献14

  • 1NOOR M A. Some Developments in General Variational Inequalities [J]. Applied Mathematics and Computation,2004,152 : 199-277.
  • 2NOOR M A. An Iterative Technique for Generalized Strongly Nonlinear Complementarity Problems[J]. Applied Mathematics Letters, 1999 ( 12 ) :75-79.
  • 3NOOR M A. Change of Variable Method for Generalized Complementarity Problems [J]. Journal of Optimization Theory and Applications, 1999,100:389-395.
  • 4NOOR M A. Some Recent Advances in Variational Inequalitites, Part 1, Basic Concepts [J]. New Zealand J Math,1997,26:53-80.
  • 5NOOR M A. Some Recent Advances in Variational Inequalitites, Part 2, Other Concepts [J]. New Zealand J Math,1997,26 : 229 -225.
  • 6VAN BOKHOVEN W M. A Class of Linear Complementarity Problems is Solvable in Polynomial Time[C]. Tech Report, Department of Electrical Engineering, Eindhoven,Holland :Technical University, 1980.
  • 7NOOR M A. Interative Methods for a Class of Complementarity Problems [J]. J Math Anal Appl, 1988,133: 366-382.
  • 8ZARAE S, NOOR M A. An Iterative Scheme for Complementarity Problems [J]. Engineering Analysis, 1986 ( 3 ) :221-224.
  • 9COTTLE R W, PENG J S, STONE R E. The Linear Complementarity Problem [M]. New York : Academic Press,1992.
  • 10GIANNESSI F, MAUGERI A. Variational Inequalities and Network Equilibrium Problems [M]. New York :Plenum Press, 1995.

同被引文献13

  • 1Niki H, Harada K, Morimoto M, et al. The survey of precond itioners used for accelerating the rate of convergence in the Gauss -Seidel method[J]. J Comput Appl Math,2004,165(2) :587 -600.
  • 2Yun J H. A note on the modified SOR method for Z-matrices[J]. Appl Math Comput,2007,194(4):572-576.
  • 3Wang Xue - zhong, Huang Ting - zhu, Fu Ying - ding. Comparison results on preconditioned SOR - type iterative method for Z - matrices linear systems [ J ]. J Comput Appl Math,2007,206 (5) :726 - 732.
  • 4Yong D M. Iterative Solution of Large Linear Systems [ M ]. New York: Academic Press, 1971.
  • 5Varga R S. Matrix Iterative Analysis[ M]. Heidelberg:Springer- Verlag,2000.
  • 6Yun J H. A note on the improving modified Gauss -Seidel method[J]. Appl Math Comput,2007,184:674 -679.
  • 7Yun J H, Kim S W. Convergence of the preconditioned AOR method for irreducible L - matrices[ J ]. Appl Math Comput,2008, 201(1) :56 -64.
  • 8Sun Li -ying. A comparison theorem of the improving Gauss -Seidel method for H- matrix and its comparison matrix[ J]. Appl Math Comput ,2006,183 (3) :390 - 393.
  • 9Yun J H. Convergent improvement of SSOR multisplitting method for an H- matrix [ J ]. J Comput Appl Math,2008,217 (2) : 252 - 258.
  • 10安静,李艳琴.一类恒等式的证明及应用[J].贵州师范大学学报（自然科学版）,2008,26(2):83-86. 被引量：1

引证文献1

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重庆师范大学学报（自然科学版）
2006年 第3期

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