On a quasi-optimal regularized projection method for solving operator equations of the first kind

Inverse Problems

Volumn 21, Issue 4, 2005, Pages 1473-1485

  Solodky, S G ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; ITERATIVE METHODS; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; SET THEORY;

BÄCKLUND TRANSFORMATION; DISCRETE INFORMATION; OPERATOR EQUATION; SHOWALTER REGUARIZATION;

MATHEMATICAL OPERATORS;

EID: 23244451062     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/4/017     Document Type: Article

References (10)

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3. Morozov V A 1966 On the solution of functional equations by the method of regularization Sov. Math.-Dokl. 7 414-7
4. Pereverzev S V 1995 Optimization of projection methods for solving ill-posed problems Computing 55 113-24
5. Maass P, Pereverzev S V, Ramlau R and Solodky S G 2001 An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection Numer. Math. 87 485-502
6. Maass P and Rieder A 1997 Wavelet-accelerated Tikhonov-regularization with applications Inverse Problems in Medical Imaging and Nondestructive Testing (Vienna: Springer) pp 134-58
7. Vainikko G M and Veretennikov A Yu 1986 Iteration Procedures in Ill-posed Problems (Moscow: Nauka)
8. Tautenhahn U 1994 On the asymptotical regularization of nonlinear ill-posed problems Inverse Problems 10 1405-18
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10. Plato R and Vainikko G 1990 On the regularization of projection methods for solving ill-posed problems Numer. Math. 57 63-79