Two-level preconditioners for regularized inverse problems I: Theory

Numerische Mathematik

Volumn 83, Issue 3, 1999, Pages 385-402

  Hanke, Martin ^a   Vogel, Curtis R ^b  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b MONTANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033406590     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050455     Document Type: Article

References (13)

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3. Engl, H.W., Hanke, M., Neubauer, A. (1996): Regularization of Inverse Problems. Kluwer Academic Publishers, Dordrecht
4. Gilliam, D.S., Lund, J.R., Vogel, C.R. (1990): Quantifying information content for ill-posed problems. Inverse Problems 6, 725-736
5. Groetsch, C.W. (1984): The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind. Pitman, Boston
6. Hackbusch, W. (1985): Multi-Grid Methods and Applications. Springer Verlag, Berlin, Heidelberg, New York
7. Hackbusch, W. (1995): Integral Equations. Theory and Numerical Treatment. Birkhäuser Verlag, Basel
8. Hansen, P.C. (1992): Numerical tools for analysis and solution of Fredholm integral equations of the first kind. Inverse Problems 8, 849-872
9. King, J.T. (1990): On the construction of preconditioners by subspace decomposition. J. Comp. Appl. Math. 29, 195-205
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11. Rieder, A. (1997): A wavelet multilevel method for ill-posed problems stabilized by Tikhonov regularization. Numer. Math. 75, 501-522
12. Rieder, A. (1997): Wavelet multilevel solvers for linear ill-posed problems stabilized by Tikhonov regularization, in Multiscale Wavelet Methods for Partial Differential Equations, W. Dahmen, A.J. Kurdila, P. Oswald, eds., Boston, Academic Press, pp. 347-380
13. Vogel, C.R., Hanke, M. (1998): Two-level preconditioners for regularized inverse problems II: Implementation and Numerical Results, manuscript