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Parameter choice by discrepancy principles for the approximate solution of Ill-posed problems

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Abstract

A general a posteriori strategy for choosing the regularization parameter as a function of the error level is given which provides nearly the optimal rate of convergence.

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References

  1. R. Arcangeli, Pseudo-solution de l'equation Ax=y, C. R. Acad. Sci. Paris, Ser. A 263, 8 (1966) 282–285

    Google Scholar 

  2. C.W. Groetsch, Comments on Morozov's Discrepancy Principle, in “Inproperly Posed Problems and Their Numerical Treatment” edited by G. Hämmerlin, K.H. Hoffmann, Birkhäuser 1983, 97–104

  3. C.W. Groetsch, E. Schock, Asymptotic Convergence Rate of Arcangeli's Method for Ill-posed Problems, Appl. Analysis, (in print)

  4. V.A. Morozov, The error principle in the solution of operational equations by the regularization method, USSR Comp. Math. and Math. Phys. 8, 2 (1966) 63–87

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  5. E. Schock, On the Asymptotic Order of Accuracy of Tikhonov Regularization, J. Optimization Theory and Appl. (in print)

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Schock, E. Parameter choice by discrepancy principles for the approximate solution of Ill-posed problems. Integr equ oper theory 7, 895–898 (1984). https://doi.org/10.1007/BF01195873

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  • DOI: https://doi.org/10.1007/BF01195873

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