Greedy Tikhonov regularization for large linear ill-posed problems

نویسندگان

  • Hisham Bin Zubair
  • C. C. W. Leentvaar
  • Cornelis W. Oosterlee
چکیده

Several numerical methods for the solution of large linear ill-posed problems combine Tikhonov regularization with an iterative method based on partial Lanczos bidiagonalization of the operator. This paper discusses the determination of the regularization parameter and the dimension of the Krylov subspace for this kind of methods. A method that requires a Krylov subspace of minimal dimension is referred to as greedy.

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عنوان ژورنال:
  • Int. J. Comput. Math.

دوره 84  شماره 

صفحات  -

تاریخ انتشار 2007