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近似求解子问题的乘性Schwarz算法 被引量:2

Multiplicative Schwarz Algorithm for Inexactly Solving Subproblems
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摘要 提出求解线性互补问题的一个乘性Schwarz算法,算法中子问题非精确求解,得到了单调收敛性及误差估计式. A multiplicative Schwarz algorithm for solving linear complementarity problem is proposed,in which subproblems are solved inexactly.The monotone convergence and the error estimation are obtained.
作者 曾金平
出处 《湖南大学学报(自然科学版)》 EI CAS CSCD 1996年第5期4-9,共6页 Journal of Hunan University:Natural Sciences
基金 国家自然科学基金
关键词 SCHWARZ算法 线性互补问题 变分不等式 子问题 multiplicative Schwarz algorithm,monotone convergence,linear complementarity problem
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参考文献6

  • 1Zhou S Z,Proceedings of DDM in Science and Engineering,1995年
  • 2曾金平,Proceedings of DDM8(Abstract),1995年
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  • 5吕涛,区域分解算法,1992年
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同被引文献10

  • 1曾金平,李董辉.对称双正型线性互补问题的多重网格迭代解收敛性理论[J].计算数学,1994,16(1):25-30. 被引量:6
  • 2Mangasarian O L. Solution of symmetric linear complementarity problems by iterative methods[J]. Journal of Optimization Theory and Applications, 1977,22 (4):465 - 485.
  • 3Mangasarian O L, Leone R De. Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear program[J]. Journal of Optimization Theory and Applications, 1987,54(3) :437-446.
  • 4Tai X C,Tseng P. Convergence rate analysis of an asynchronous space decomposition method for convex minimization[J]. Mathematics of Computation, 2001,71 ( 239 ) : 1105 - 1135.
  • 5Zeng J P,Zhou S Z. A domain decomposition method for a kind of optimization problems[J]. Journal of Computational and Applied Mathematics,2002,146:127-139.
  • 6Zeng J P,Zhou S Z.A domain decomposition method for a kind of optimization problems.J.Comput.Appl.Math.,2002,146:127-139
  • 7Cottle R W,Pang J S,Stone R E.The linear complementarity problem.New York:Academic Press,1992
  • 8Mangasarian O L.Solution of symmetric linear complementarity problems by iterative methods.J.Optim.Theory Appl.,1977,22(4):465-485
  • 9Mangasarian O L,Leone R De.Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear program.J.Optim.Theory Appl.,1987,54(3):437-446
  • 10Quarteroni A,Valli A.Domain decomposition methods for partial differential equations.New York:Oxford University Press,1999

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