期刊文献+

L-矩阵的AOR和预优AOR方法在二级迭代过程中收敛性的比较

A Comparison of AOR Method and Preconditioned AOR Method of L-matrix Regarding Constringency in Two-stage Iterative Methods
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摘要 考虑线性系统Ax=b,当A为L-矩阵时,通过利用AOR迭代方法收敛的谱半径与预优AOR方法的比较,给出了在二级迭代的情况下,外迭代的R1-收敛因子更为精确的结果. This paper examines the linear system Ax = b when A is a L - matrix. Given two-stage iteration, a comparison was drawn between spectral radii of AOR and preconditioned AOR methods, aiming at more accurate results of R1 - factor of the outer iteration of two-stage iterative.
作者 滑伟 吴业军
出处 《南京工程学院学报(自然科学版)》 2007年第4期1-4,共4页 Journal of Nanjing Institute of Technology(Natural Science Edition)
基金 南京工程学院科研基金项目"解互补问题的区间方法"(KXJ06051)
关键词 二级迭代 L-矩阵 AOR方法 预优AOR方法 谱半径 two-stage iterative L- matrix AOR method preconditioned AOR method spectral radius
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参考文献6

  • 1[1]NICHOLS N K.On the convergence of two-stage iterative procesees for solving linear eqoutions[J].SIAM J Numer Anal,1973,10:460-469.
  • 2[2]FROMMER A,DANIEL B S.H-splittings and two-stage iterative methods[J].Numer Math,1992,63:345-356.
  • 3[3]EVANS D J,MMRTINS M M,TRIGO M E.The AOR iterative method for new preconditioned linear systems[J].Journal of Computational and Applied Mathematics,2001,132:461-466.
  • 4[4]RHEINBOLDT W C,ORTEGA J M.The iterative solution of nonlinear equations in several variables[M].New York:Academic Press,1995.
  • 5[5]ORTEGA J M.The numerical analysis,a second course[M].Philadelphia:Reprinted by Siam,1990.
  • 6[6]VARGA R S.Matrix iterative analysis[M].New Jersy:Princetou-Hall,Inc,1962.

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