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Preconditioned iterative methods for solving weighted linear least squares problems 被引量：2

Preconditioned iterative methods for solving weighted linear least squares problems
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摘要 A class of preconditioned iterative methods, i.e., preconditioned generalized accelerated overrelaxation （GAOR） methods, is proposed to solve linear systems based on a class of weighted linear least squares problems. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned iterative methods is better than that of the original methods. Furthermore, the effectiveness of the proposed methods is shown in the numerical experiment. A class of preconditioned iterative methods, i.e., preconditioned generalized accelerated overrelaxation （GAOR） methods, is proposed to solve linear systems based on a class of weighted linear least squares problems. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned iterative methods is better than that of the original methods. Furthermore, the effectiveness of the proposed methods is shown in the numerical experiment.
作者 沈海龙 邵新慧 张铁
机构地区 College of Sciences College of Information Science and Engineering
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第3期375-384,共10页 应用数学和力学（英文版）
基金 supported by the National Natural Science Foundation of China (No. 11071033) the Fundamental Research Funds for the Central Universities (No. 090405013)
关键词 PRECONDITIONER generalized accelerated overrelaxation （GAOR） method weighted linear least squares problem CONVERGENCE preconditioner, generalized accelerated overrelaxation （GAOR） method weighted linear least squares problem, convergence
分类号 O241.5 [理学—计算数学]
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参考文献12

  • 1Yuan,J. Y. and Jin,X. Q. Convergence of the generalized AOR method. Appl. Math. Comput.,99(1),35-46 (1999).
  • 2Zhou,X. X.,Song,Y. Z.,Wang,L.,and Liu Q. S. Preconditioned GAOR methods for solving weighted linear least squares problems. J. Comput. Appl. Math.,224(2),242-249 (2009).
  • 3Hadjidimos,A. Accelerated overrelaxation method. Math. Comput.,32(1),149-157 (1978).
  • 4Young,D. M. Iterative Solution of Large Linear Systems,Academic Press,New York,25-89 (1971).
  • 5Song,Y. Z. Extensions of Ostrowski-Reich theorem in AOR iteratives. Math. Numer. Sinica.,7(3), 323-326 (1985).
  • 6Song,Y. Z. Convergence of the AOR iterative methods. Math. Numer. Sinica,8(3),332-337 (1986).
  • 7Darvishi,M. T. and Hessari,P. On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices. Appl. Math. Comput.,181(4),468-477 (2006).
  • 8Darvishi,M. T.,Hessari,P.,and Yuan,J. Y. On convergence of the generalized accelerated overrelaxation method. Appl. Math. Comput.,176(1),128-133 (2006).
  • 9Yuan,J. Y. Numerical methods for generalized least squares problems. J. Comput. Appl. Math.,66(5),571-584 (1996).
  • 10Yuan,J. Y. and Iusem,A. N. SOR-type methods for generalized least squares problems. Acta Math. Appl. Sinica,16(1),130-139 (2000).

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引证文献2

Applied Mathematics and Mechanics(English Edition)
2012年 第3期

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