Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (1): 35-44.

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ON THE ASYMPTOTIC ORDER OF TIKHONOV REGULARIZATION WITH OPERATORS AND DATA ERROR

Chen Hong   

  1. Securities & Futures Institute, Shanghai University of Finance and Economics, Shanghai 200433, China
  • Received:1995-10-09 Online:1998-03-25 Published:1998-03-25
  • Supported by:
    This work is supported by the Postdoctoral Foundation of China

Abstract: It is considered that the Tikhonov regularization with closed operators for solving linear OPerator equations of the first kind in the presence of perturbed operators. A class of the regularization parameter choice strategies that lead to optimal convergence rates are proposed.

Key words: Regularization, the first kind operator equations, ill-posed problems, rate of convergence

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