An iterated version of Lavrent’iev's method for ill-posed equations with approximately specified data

Journal of Inverse and Ill-Posed Problems

Volumn 8, Issue 2, 2000, Pages 193-204

  Nair, M Thamban ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042682768     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.2000.8.2.193     Document Type: Article

References (10)

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3. C. W. Groetsch, Uniform convergence of rerularization methods for Fredholm equations of the first kind. J. Austral. Math. Soc. Ser. A (1985) 39, 292-286.
4. C. W. Groetsch, Inverse Problems in Mathematical Sciences. Vieweg, Braunschweg, Wiesbaden, 1993.
5. M. T. Nair, A unified approach for regularized approximation methods for Fredholm integral equations of the first kind. Numer. Fucnt. Anal. Optim. (1994) 15, 381–389.
6. M. T. Nair and E. Schock, A discrepancy principle for Tikhonov regularization with approximately specified data. To appear in Annales Polonici Mathematici
7. R. Plato, On Resolvent Conditions for Abel Integral Operators. Preprint No 459. Fachbereich Mathematik, Technische Universität, Berlin, 1995.
8. R. Plato, Iterative and Parametric Methods for Linear Ill-Posed Problems. Habilitationsschrift, Fachbereich Mathematik, Technische Universität, Berlin, 1995.
9. E. Schock, On the approximate solution of ill-posed equations in Banach spaces. In: Proc. Conf. on Vector Measures and Integral Representations of Operators, and on Functional Analysis/Banach Space Geometry (Ed W. Ruess). 1982, 351–362.
10. E. Schock, On the asymptotic order of accuracy of Tikhonov regularization. J. Optim. Th. Appl. (1984) 44, 95–104.