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预条件Jacobi迭代方法及比较定理 被引量:2

Preconditioned Jacobi iterative method and comparison theorems
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摘要 利用一种新的预条件矩阵讨论了预条件Jacobi迭代方法,得到了比较定理,并且揭示了预条件Jacobi迭代方法的收敛速度和参数之间的关系. With the aid of a new preconditioned matrix, the preconditioned Jacobi iterative method is discussed. Some comparison theorems are obtained, and the relation between the convergence rate of preconditioned Jacobi iterative method and the parameters is brought to light.
出处 《西北师范大学学报(自然科学版)》 CAS 2005年第5期21-23,共3页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(10071048)
关键词 预条件矩阵 Jacobi迭代方法 比较定理 谱半径 preconditioned matrix Jacobi iterative method comparison theorems spectral radius
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参考文献5

  • 1Niki H,.HaradaK, Morimoto M, et al. The survey of preconditioners used for accelerating the rate of convergence in the Gauss - Seidel method[J].J Comput Appl Math, 2004, 164-165: 587-600.
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同被引文献11

  • 1李爱娟,畅大为.预条件SOR迭代方法及收敛性的比较[J].曲阜师范大学学报(自然科学版),2005,31(4):48-50. 被引量:5
  • 2Niki H,Harada K,Morimoto M,et al.The survey of preconditioners used for accelerating the rate of convergence in the Grass-Seidel method.Journal of Computational and Applied Mathematics,2004;165(5):587-600.
  • 3Li W,Sun W W.Modified Grass-Seidel type methods and Jacobi type methods for Z-matrices.Linear Algebra Appl,2000;317(1):227-240.
  • 4Kotakemori H,Niki H,Okamoto N.Accelerated iterative method for Z-matrices.Comput Appl Math,1996;75:89-97.
  • 5Hadjidimos A,Noutsos D,Tzoumas M.More on modifications and improvements of classical iterative schemes for M-matrices.Liner Algebra Appl,2003;364:253-279.
  • 6Varga R S.Matric iterative analysis.Berlin:Prentice Hall Inc.1962.
  • 7Elsner L.Comparisons of weak regular splittings and multisplitting methods.Numer Math,1989;56:283-289.
  • 8R.S.Varga Matrix Iterative Analysis[M].Berlin:Prentice Hall Inc.1962.
  • 9Niki H,Harada K,Morimoto M,Sakakihara M.The survey of preconditioners used for ac-celerating the rate of convergence in the Gauss-Seidel method[J].J,Comput,Appl Math,2004(164-165):587-600.
  • 10石艳超,徐安农.预条件Gauss-Seidel迭代法[J].桂林电子科技大学学报,2008,28(3):258-260. 被引量:4

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