메뉴 건너뛰기




Volumn 24, Issue 1, 2008, Pages

How general are general source conditions?

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FUNCTION EVALUATION;

EID: 41849131791     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/24/1/015009     Document Type: Article
Times cited : (89)

References (18)
  • 2
    • 85064780549 scopus 로고    scopus 로고
    • Convergence rates for Tikhonov regularization from different kinds of smoothness conditions
    • Böttcher A, Hofmann B, Tautenhahn U and Yamamoto M 2006 Convergence rates for Tikhonov regularization from different kinds of smoothness conditions Appl. Anal. 85 555-78
    • (2006) Appl. Anal. , vol.85 , Issue.5 , pp. 555-578
    • Böttcher, A.1    Hofmann, B.2    Tautenhahn, U.3    Yamamoto, M.4
  • 3
    • 41449109255 scopus 로고    scopus 로고
    • The balancing principle for the regularization of elliptic Cauchy problems
    • Cao H and Pereverzev S V 2007 The balancing principle for the regularization of elliptic Cauchy problems Inverse Problems 23 1943-61
    • (2007) Inverse Problems , vol.23 , Issue.5 , pp. 1943-1961
    • Cao, H.1    Pereverzev, S.V.2
  • 6
    • 0026939558 scopus 로고
    • An optimal order regularization method which does not use additional smoothness assumptions
    • Hegland M 1992 An optimal order regularization method which does not use additional smoothness assumptions SIAM J. Numer. Anal. 29 1446-61
    • (1992) SIAM J. Numer. Anal. , vol.29 , Issue.5 , pp. 1446-1461
    • Hegland, M.1
  • 7
    • 0000554469 scopus 로고
    • Variable Hilbert scales and their interpolation inequalities with applications to Tikhonov regularization
    • Hegland M 1995 Variable Hilbert scales and their interpolation inequalities with applications to Tikhonov regularization Appl. Anal. 59 207-23
    • (1995) Appl. Anal. , vol.59 , Issue.1 , pp. 207-223
    • Hegland, M.1
  • 8
    • 37549002107 scopus 로고    scopus 로고
    • Analysis of profile functions for general linear regularization methods
    • Hofmann B and Mathé P 2007 Analysis of profile functions for general linear regularization methods SIAM J. Numer. Anal. 45 1122-41
    • (2007) SIAM J. Numer. Anal. , vol.45 , Issue.3 , pp. 1122-1141
    • Hofmann, B.1    Mathé, P.2
  • 9
    • 0000670255 scopus 로고    scopus 로고
    • 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
    • 0003329781 scopus 로고
    • Exact constants in approximation theory
    • Korneichuk N 1991 Exact constants in approximation theory Encyclopedia of Mathematics and its Applications vol 38 ed K Ivanov (Cambridge: Cambridge University Press) (Translated from Russian)
    • (1991) Encyclopedia of Mathematics and Its Applications , vol.38
    • Korneichuk, N.1
  • 13
    • 4243091943 scopus 로고
    • Tikhonov regularization for finitely and infinitely smoothing operators
    • Mair B A 1994 Tikhonov regularization for finitely and infinitely smoothing operators SIAM J. Math. Anal. 25 135-47
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.1 , pp. 135-147
    • Mair, B.A.1
  • 14
    • 0038339461 scopus 로고    scopus 로고
    • Geometry of linear ill-posed problems in variable Hilbert scales
    • Mathé P and Pereverzev S V 2003 Geometry of linear ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803
    • (2003) Inverse Problems , vol.19 , Issue.3 , pp. 789-803
    • Mathé, P.1    Pereverzev, S.V.2
  • 15
    • 0346559856 scopus 로고
    • O printsipe newyaski pri reshenii operatornykh uravnenii metodom regulyarizatsii
    • Morozov V A 1968 O printsipe newyaski pri reshenii operatornykh uravnenii metodom regulyarizatsii. Vyisl. Mat. i Mat. Fiz. 8 295-309
    • (1968) . Vyisl. Mat. i Mat. Fiz. , vol.8 , pp. 295-309
    • Morozov, V.A.1
  • 17
    • 0032047113 scopus 로고    scopus 로고
    • Optimality for ill-posed problems under general source conditions
    • Tautenhahn U 1998 Optimality for ill-posed problems under general source conditions Numer. Funct. Anal. Optim. 19 377-98
    • (1998) Numer. Funct. Anal. Optim. , vol.19 , Issue.3 , pp. 377-398
    • Tautenhahn, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.