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Volumn 21, Issue 6, 2005, Pages 1975-1991

A Lepskij-type stopping rule for regularized Newton methods

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS;

EID: 28544447290     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/21/6/011     Document Type: Article
Times cited : (76)

References (18)
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    • Bakushinsky, A.B.1
  • 2
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  • 5
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    • On convergence rates for the iteratively regularized Gauß-Newton method
    • Blaschke B, Neubauer A and Scherzer O 1997 On convergence rates for the iteratively regularized Gauß-Newton method IMA J. Numer. Anal. 17 421-36
    • (1997) IMA J. Numer. Anal. , vol.17 , Issue.3 , pp. 421-436
    • Blaschke, B.1    Neubauer, A.2    Scherzer, O.3
  • 8
    • 0034561754 scopus 로고    scopus 로고
    • Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations
    • Goldenshluger A and Pereverzev S 2000 Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations Prob. Theor. Relat. Fields 118 169-86
    • (2000) Prob. Theor. Relat. Fields , vol.118 , Issue.2 , pp. 169-186
    • Goldenshluger, A.1    Pereverzev, S.2
  • 9
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    • Logarithmic convergence rates of the iteratively regularized Gauß-Newton method for an inverse potential and an inverse scattering problem
    • Hohage T 1997 Logarithmic convergence rates of the iteratively regularized Gauß-Newton method for an inverse potential and an inverse scattering problem Inverse Problems 13 1279-99
    • (1997) Inverse Problems , vol.13 , Issue.5 , pp. 1279-1299
    • Hohage, T.1
  • 10
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    • Hohage T 1999 Iterative methods in inverse obstacle scattering: regularization theory of linear and nonlinear exponentially ill-posed problems PhD Thesis University of Linz
    • (1999) PhD Thesis
    • Hohage, T.1
  • 11
    • 0000130782 scopus 로고    scopus 로고
    • Some Newton-type methods for the regularization of nonlinear ill-posed problems
    • Kaltenbacher B 1997 Some Newton-type methods for the regularization of nonlinear ill-posed problems Inverse Problems 13 729-53
    • (1997) Inverse Problems , vol.13 , Issue.3 , pp. 729-753
    • Kaltenbacher, B.1
  • 12
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    • Kaltenbacher B 1998 A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems Numer. Math. 79 501-28
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  • 14
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    • Characterization of the shape of the scattering obstacle by the spectral data of the far field operator
    • Kirsch A 1998 Characterization of the shape of the scattering obstacle by the spectral data of the far field operator Inverse Problems 14 1489-512
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    • Kirsch, A.1
  • 15
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    • On a problem of adaptive estimation in Gaussian white noise
    • Lepskij O V 1990 On a problem of adaptive estimation in Gaussian white noise Theory Probab. Appl. 35 454-66
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  • 16
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    • Geometry of ill-posed problems in variable Hilbert scales
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.