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Volumn 19, Issue 7-8, 1998, Pages 773-787

On a generalized Arcangeli's method for Tikhonov regularization with Inexact data

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL OPERATORS;

EID: 0032165153     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569808816858     Document Type: Article
Times cited : (16)

References (15)
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    • Arcangeli, R.1
  • 2
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    • (1980) The Application and Numerical Solution of Integral Equations , pp. 119-134
    • De Hoog, F.1
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    • An improved version of Marti's method for solving ill-posed linear integral equations
    • H.W. ENGL and A. NEUBAUER, An improved version of Marti's method for solving ill-posed linear integral equations, Math. Comp. 45 (1985) 405-416.
    • (1985) Math. Comp. , vol.45 , pp. 405-416
    • Engl, H.W.1    Neubauer, A.2
  • 4
    • 0028531515 scopus 로고
    • Parameter choice by discrepancy principles for ill-posed problems leading to optimal convegence rates
    • S. GEORGE and M.T.NAIR, Parameter choice by discrepancy principles for ill-posed problems leading to optimal convegence rates, J. Op- tim. Th and Appl. 13 (1994) 217-222.
    • (1994) J. Op- Tim. th and Appl. , vol.13 , pp. 217-222
    • George, S.1    Nair, M.T.2
  • 5
    • 84966214028 scopus 로고
    • An a posteriori parameter choice for ordinary and interated Tikhonov regularization of ill-posed problems leading to optimal convergence rates
    • H. GFRERER, An a posteriori parameter choice for ordinary and interated Tikhonov regularization of ill-posed problems leading to optimal convergence rates, Math. Comp. 49 (1987) 507-522.
    • (1987) Math. Comp. , vol.49 , pp. 507-522
    • Gfrerer, H.1
  • 8
    • 0010762594 scopus 로고
    • Asymptotic convergence of Arcangeli's method for ill-posed problems
    • C.W. GROETSCH and E. SCHOCK, Asymptotic convergence of Arcangeli's method for ill-posed problems, Applicable Analysis 18 (1984) 175-182.
    • (1984) Applicable Analysis , vol.18 , pp. 175-182
    • Groetsch, C.W.1    Schock, E.2
  • 9
    • 0038594382 scopus 로고
    • An algorithm for for computing minimum norm solutions of Fredholm intergral equations of the first kind
    • J. MARTI, An algorithm for for computing minimum norm solutions of Fredholm intergral equations of the first kind, SIAM J. Numer. Anal., 15 (1978) 1071-1076.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 1071-1076
    • Marti, J.1
  • 10
    • 84966211967 scopus 로고
    • On the convergence of an algorthm for computing minimum norm solutions of ill-posed problems
    • J. MARTI, On the convergence of an algorthm for computing minimum norm solutions of ill-posed problems, Math. Comp., 34 (1980) 521-527.
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  • 11
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    • M.T. NAIR, M.T., A generalization of Arcangeli's method for ill-posed problems leading to optimal convergence rates, Integr. Equat. and Oper. Th., 15 (1992) 1042-1046.
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    • Nair, M.T.1
  • 12
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    • An à posteriori parameter choice for Tikhonov regularization in the presence of modelling error
    • A. NEUBAUER, A., An à posteriori parameter choice for Tikhonov regularization in the presence of modelling error, Appl. Numer. Math., 14(1988) 507-519.
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    • R. PLATO and G. VAINIKKO, On the convergence of projection methods for solving ill-posed problems, Numer. Math., 57 (1990) 63-79.
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  • 14
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.