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MULTILEVEL ITERATION METHODS FOR SOLVING LINEAR ILL-POSED PROBLEMS 被引量:1

MULTILEVEL ITERATION METHODS FOR SOLVING LINEAR ILL-POSED PROBLEMS
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摘要 In this paper we develop multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for ill-posed problems. The algorithm and its convergence analysis are presented in an abstract framework. In this paper we develop multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for ill-posed problems. The algorithm and its convergence analysis are presented in an abstract framework.
基金 Natural Science Foundation of China under grants 10371137 and 10201034 the Foundation of Doctoral Program of National Higher Education of China under grant 20030558008 Guangdong Provincial Natural Science Foundation of China under grant 1011170 the Foundation of Zhongshan University Advanced Research Center.
关键词 多级迭代法 病态问题 Tikhonov调整 线性系统 收敛性 Ill-posed problems, multilevel iteration methods, Tikhonov regularization.
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  • 1Zhongying Chen,Charles A. Micchelli,Yuesheng Xu.Discrete Wavelet Petrov–Galerkin Methods[J].Advances in Computational Mathematics.2002(1)
  • 2Peter Maa?,Sergei V. Pereverzev,Ronny Ramlau,Sergei G. Solodky.An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection[J].Numerische Mathematik.2001(3)
  • 3Zhongying Chen,Charles A. Micchelli,Yuesheng Xu.The Petrov–Galerkin method for second kind integral equations II: multiwavelet schemes[J].Advances in Computational Mathematics.1997(3)
  • 4Andreas Rieder.A wavelet multilevel method for ill-posed problems stabilized by Tikhonov regularization[J].Numerische Mathematik.1997(4)
  • 5J. Thomas King.Multilevel algorithms for ill-posed problems[J].Numerische Mathematik.1992(1)
  • 6Chen Z Y,Micchelli C A,Xu Y S.Fast collocation methods for second kind integral equations, SIAM J[].Numer Anal.2002
  • 7Rieder A.Additive and multiplicative schwarz algorithms for linear ill-posed problems, ZAMM Z.Angew[].Journal of Mathematics and Mechanics.1996

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