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Volumn 28, Issue 11, 1997, Pages 1799-1809

Tikhonov regularization for nonlinear ill-posed problems

Author keywords

Convergence rate; Nonlinear ill posed problems; Regularized parameter; Tikhonov regularization

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); MATHEMATICAL OPERATORS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 0031162492     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(95)00235-N     Document Type: Article
Times cited : (11)

References (10)
  • 1
    • 0012937510 scopus 로고
    • Pseudo-solution de l'equation Ax = y
    • ARCANGELI R., Pseudo-solution de l'equation Ax = y, C. R. Acad. Sci. Paris, Sér. A 263, 282-285 (1966).
    • (1966) C. R. Acad. Sci. Paris, Sér. A , vol.263 , pp. 282-285
    • Arcangeli, R.1
  • 2
    • 38249038095 scopus 로고
    • On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems
    • ENGL H. W., On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems, J. Approx. Theory 49, 55-63 (1987).
    • (1987) J. Approx. Theory , vol.49 , pp. 55-63
    • Engl, H.W.1
  • 3
    • 0000561277 scopus 로고
    • An a-posteriori parameter choice for ordinary and iterated Tikhonov regularization leading to optimal convergence rates
    • GFRERER H., An a-posteriori parameter choice for ordinary and iterated Tikhonov regularization leading to optimal convergence rates, Math. Comput 49, 502-522 (1987).
    • (1987) Math. Comput , vol.49 , pp. 502-522
    • Gfrerer, H.1
  • 5
    • 0042607486 scopus 로고
    • The general Arcangeli's method for solving ill-posed problems
    • HOU ZONG-YI & LI HE-NONG, The general Arcangeli's method for solving ill-posed problems, Nonlinear Analysis 21, 197-206 (1993).
    • (1993) Nonlinear Analysis , vol.21 , pp. 197-206
    • Hou, Z.-Y.1    Li, H.-N.2
  • 7
    • 36149030945 scopus 로고
    • Convergence rates for Tikhonov regularization of nonlinear ill-posed problems
    • ENGL H. W., KUNISCH K. & NEUBAUER A., Convergence rates for Tikhonov regularization of nonlinear ill-posed problems, Inverse Problems 5, 523-540 (1989).
    • (1989) Inverse Problems , vol.5 , pp. 523-540
    • Engl, H.W.1    Kunisch, K.2    Neubauer, A.3
  • 8
    • 0009571253 scopus 로고
    • On a class of damped Morozov principle
    • KUNISCH K., On a class of damped Morozov Principle, Computing 50, 185-198 (1993).
    • (1993) Computing , vol.50 , pp. 185-198
    • Kunisch, K.1
  • 9
    • 0002557931 scopus 로고
    • The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems
    • SCHERZER O., The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems, Computing 51, 45-60 (1993).
    • (1993) Computing , vol.51 , pp. 45-60
    • Scherzer, O.1
  • 10
    • 0027802743 scopus 로고
    • Optimal a-posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems
    • SCHERZER O., ENGL H. W. & KUNISCH K., Optimal a-posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems, SIAM J. numer. Analysis 30, 1796-1838 (1993).
    • (1993) SIAM J. Numer. Analysis , vol.30 , pp. 1796-1838
    • Scherzer, O.1    Engl, H.W.2    Kunisch, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.