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Volumn 19, Issue 6, 2003, Pages 1263-1277

Discretization strategy for linear ill-posed problems in variable Hilbert scales

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; ERROR ANALYSIS; GEOMETRY; INTERPOLATION; MATHEMATICAL OPERATORS; OPTIMIZATION; PERTURBATION TECHNIQUES; SPURIOUS SIGNAL NOISE; VARIATIONAL TECHNIQUES;

EID: 0346946904     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/6/003     Document Type: Article
Times cited : (79)

References (13)
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    • Convergence analysis of a regularized degenerate kernel method for Fredholm integral equations of the first kind
    • Groetsch C W 1990 Convergence analysis of a regularized degenerate kernel method for Fredholm integral equations of the first kind Integral Eqns Oper. Theory 13 67-75
    • (1990) Integral Eqns Oper. Theory , vol.13 , pp. 67-75
    • Groetsch, C.W.1
  • 3
    • 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 , pp. 1446-1461
    • Hegland, M.1
  • 4
    • 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 , pp. 207-223
    • Hegland, M.1
  • 6
    • 0036697653 scopus 로고    scopus 로고
    • Moduli of continuity for operator valued functions
    • Mathé P and Pereverzev S V 2002 Moduli of continuity for operator valued functions Numer. Funct. Anal. Optim. 23 623-31
    • (2002) Numer. Funct. Anal. Optim. , vol.23 , pp. 623-631
    • Mathé, P.1    Pereverzev, S.V.2
  • 7
    • 0038339461 scopus 로고    scopus 로고
    • Geometry of ill-posed problems in variable Hilbert scales
    • Mathé P and Pereverzev S V 2003 Geometry of ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803
    • (2003) Inverse Problems , vol.19 , pp. 789-803
    • Mathé, P.1    Pereverzev, S.V.2
  • 8
    • 0037227075 scopus 로고    scopus 로고
    • Morozov's discrepancy principle under general source conditions
    • Nair M T, Schock E and Tautenhahn U 2003 Morozov's discrepancy principle under general source conditions Z. Anal. Anwend. 22 199-214
    • (2003) Z. Anal. Anwend. , vol.22 , pp. 199-214
    • Nair, M.T.1    Schock, E.2    Tautenhahn, U.3
  • 9
    • 0003056816 scopus 로고
    • On the regularization of projection methods for solving ill-posed problems
    • Plato R and Vainikko G 1990 On the regularization of projection methods for solving ill-posed problems Numer. Math. 57 63-79
    • (1990) Numer. Math. , vol.57 , pp. 63-79
    • Plato, R.1    Vainikko, G.2
  • 10
    • 0037845247 scopus 로고    scopus 로고
    • Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind
    • Rajan M P 2003 Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind J. Math. Anal. Appl. 279 522-30
    • (2003) J. Math. Anal. Appl. , vol.279 , pp. 522-530
    • Rajan, M.P.1
  • 11
    • 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 , pp. 377-398
    • Tautenhahn, U.1
  • 12
    • 0013298158 scopus 로고    scopus 로고
    • The use of monotonicity for choosing the regularization parameter in ill-posed problems
    • Tautenhahn U and Hämarik U 1999 The use of monotonicity for choosing the regularization parameter in ill-posed problems Inverse Problems 15 1487-505
    • (1999) Inverse Problems , vol.15 , pp. 1487-1505
    • Tautenhahn, U.1    Hämarik, U.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.