메뉴 건너뛰기




Volumn 79, Issue 4, 1998, Pages 501-528

A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032393455     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050349     Document Type: Article
Times cited : (54)

References (25)
  • 1
    • 0000834834 scopus 로고
    • The problem of the convergence of the iteratively regularized Gauß-Newton method
    • Bakushinskii, A. B. (1992): The Problem of the convergence of the iteratively regularized Gauß-Newton method. Comput. Math. Phys. 32, 1353-1359
    • (1992) Comput. Math. Phys. , vol.32 , pp. 1353-1359
    • Bakushinskii, A.B.1
  • 2
    • 0039251899 scopus 로고
    • Iterative methods for solving non-linear operator equations in the absence of regularity. A new approach
    • Bakushinskii, A.B. (1993): Iterative methods for solving non-linear operator equations in the absence of regularity. A new approach. Russian Acad. Sci. Dokl. Math. 47, 451-454
    • (1993) Russian Acad. Sci. Dokl. Math. , vol.47 , pp. 451-454
    • Bakushinskii, A.B.1
  • 4
    • 0040436474 scopus 로고    scopus 로고
    • Regularization methods for nonlinear ill-posed problems with applications to phase reconstruction
    • To appear in: Engl, H.W., Louis, A.K., Rundell, W. (eds.) Springer, Vienna-New York
    • Blaschke-Kaltenbacher, B., Engl, H.W. (1997): Regularization methods for nonlinear ill-posed problems with applications to phase reconstruction. To appear in: Engl, H.W., Louis, A.K., Rundell, W. (eds.) Inverse Problems in Medical Imaging and Nondestructive Testing. Springer, Vienna-New York
    • (1997) Inverse Problems in Medical Imaging and Nondestructive Testing
    • Blaschke-Kaltenbacher, B.1    Engl, H.W.2
  • 5
    • 0031532935 scopus 로고    scopus 로고
    • On convergence rates for the iteratively regularized Gauß-Newton method
    • To appear
    • Blaschke(-Kaltenbacher), B., Neubauer, A., Scherzer, O. (1997): On convergence rates for the iteratively regularized Gauß-Newton method. To appear in: IMA J. Numer. Anal.
    • (1997) IMA J. Numer. Anal.
    • Blaschke, B.1    Neubauer, A.2    Scherzer, O.3
  • 6
    • 0030127690 scopus 로고    scopus 로고
    • On weakly nonlinear ill-posed problems
    • Chavent, G., Kunisch, K. (1996): On weakly nonlinear ill-posed problems. SIAM J. Appl. Math. 56, 542-572
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 542-572
    • Chavent, G.1    Kunisch, K.2
  • 7
    • 0000565315 scopus 로고
    • Algorithms for the regularization of ill-conditioned least squares problems
    • Eldén, L. (1977): Algorithms for the regularization of ill-conditioned least squares problems. BIT 17, 134-145
    • (1977) BIT , vol.17 , pp. 134-145
    • Eldén, L.1
  • 9
    • 36149030945 scopus 로고
    • Convergence rates for Tikhonov regularization of nonlinear ill-posed problems
    • Engl, H.W., Kunisch, K., Neubauer, A. (1989): Convergence rates for Tikhonov regularization of nonlinear ill-posed problems. Inverse Problems 5, 523-540
    • (1989) Inverse Problems , vol.5 , pp. 523-540
    • Engl, H.W.1    Kunisch, K.2    Neubauer, A.3
  • 12
    • 0038618747 scopus 로고
    • Accelerated Landweber iterations for the solution of ill-posed equations
    • Hanke, M. (1991): Accelerated Landweber iterations for the solution of ill-posed equations. Numer. Math. 60, 341-373
    • (1991) Numer. Math. , vol.60 , pp. 341-373
    • Hanke, M.1
  • 13
    • 0003062572 scopus 로고    scopus 로고
    • A regularization Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems
    • Hanke, M. (1997): A regularization Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Inverse Problems 13, 79-95
    • (1997) Inverse Problems , vol.13 , pp. 79-95
    • Hanke, M.1
  • 15
    • 0040893030 scopus 로고
    • A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
    • Hanke, M., Neubauer, A., Scherzer, O. (1993): A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Numer. Math. 72, 21-37
    • (1993) Numer. Math. , vol.72 , pp. 21-37
    • Hanke, M.1    Neubauer, A.2    Scherzer, O.3
  • 16
    • 0001421314 scopus 로고
    • Influence factors if ill-posedness for nonlinear problems
    • Hofmann, B., Scherzer, O. (1994): Influence factors if ill-posedness for nonlinear problems. Inverse Problems 10, 1277-1297
    • (1994) Inverse Problems , vol.10 , pp. 1277-1297
    • Hofmann, B.1    Scherzer, O.2
  • 17
    • 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, 729-753
    • (1997) Inverse Problems , vol.13 , pp. 729-753
    • Kaltenbacher, B.1
  • 19
    • 0000865204 scopus 로고
    • A quasi-Newton method in inverse obstacle scattering
    • Kress, R., Rundell, W. (1994): A quasi-Newton method in inverse obstacle scattering. Inverse Problems 10, 1145-1158
    • (1994) Inverse Problems , vol.10 , pp. 1145-1158
    • Kress, R.1    Rundell, W.2
  • 23
    • 0041098562 scopus 로고    scopus 로고
    • A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems
    • Scherzer, O. (1996): A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems. Num. Func. Anal. Opt. 17, 197-214
    • (1996) Num. Func. Anal. Opt. , vol.17 , pp. 197-214
    • Scherzer, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.