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Volumn 15, Issue 1, 1999, Pages 309-327

On the regularization of nonlinear ill-posed problems via inexact Newton iterations

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EID: 0000677992     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/15/1/028     Document Type: Article
Times cited : (111)

References (24)
  • 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 1353-9
    • (1992) Comput. Math. Phys. , vol.32 , pp. 1353-1359
    • Bakushinskii, A.B.1
  • 3
    • 0031532935 scopus 로고    scopus 로고
    • On convergence rates for the iteratively regularized Gauss-Newton method
    • Blaschke(-Kaltenbacher) 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 , pp. 421-436
    • Blaschke, B.1    Neubauer, A.2    Scherzer, O.3
  • 4
    • 0041051605 scopus 로고
    • On ill-posed problems and the method of conjugate gradients
    • ed H W Engl and C W Groetsch (Boston, MA: Academic)
    • Brakhage H 1987 On ill-posed problems and the method of conjugate gradients Inverse and Ill-Posed Problems ed H W Engl and C W Groetsch (Boston, MA: Academic)
    • (1987) Inverse and Ill-Posed Problems
    • Brakhage, H.1
  • 5
    • 0038212661 scopus 로고
    • Convergence of Tikhonov regularization for constrained ill-posed problems
    • Chavent G and Kunisch K 1994 Convergence of Tikhonov regularization for constrained ill-posed problems Inverse Problems 10 63-73
    • (1994) Inverse Problems , vol.10 , pp. 63-73
    • Chavent, G.1    Kunisch, K.2
  • 6
    • 84942964039 scopus 로고
    • Stability for parameter estimation in two point boundary value problems
    • Colonius F and Kunisch K 1986 Stability for parameter estimation in two point boundary value problems J. Reine Angew. Math. 370 1-29
    • (1986) J. Reine Angew. Math. , vol.370 , pp. 1-29
    • Colonius, F.1    Kunisch, K.2
  • 8
    • 22244488552 scopus 로고
    • Convergence rates for Tikhonov regularization of nonlinear ill-posed problems
    • Engl H W, Kunisch K and Neubauer A 1989 Convergence rates for Tikhonov regularization of nonlinear ill-posed problems Inverse Problems 5 63-79
    • (1989) Inverse Problems , vol.5 , pp. 63-79
    • Engl, H.W.1    Kunisch, K.2    Neubauer, A.3
  • 12
    • 0038618747 scopus 로고
    • Accelerated Landweber iterations for the solution of ill-posed problems
    • Hanke M 1991 Accelerated Landweber iterations for the solution of ill-posed problems Numer. Math. 5 341-73
    • (1991) Numer. Math. , vol.5 , pp. 341-373
    • Hanke, M.1
  • 13
    • 0003062572 scopus 로고    scopus 로고
    • A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems
    • Hanke M 1997 A regularizing 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
  • 14
    • 0031275314 scopus 로고    scopus 로고
    • Regularizing properties of a truncated Newton-CG algorithm for non-linear inverse problems
    • Hanke M 1998 Regularizing properties of a truncated Newton-CG algorithm for non-linear inverse problems Numer. Funct. Anal. Optim. 18 971-93
    • (1998) Numer. Funct. Anal. Optim. , vol.18 , pp. 971-993
    • Hanke, M.1
  • 15
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • Hanke M and Hanson P C 1993 Regularization methods for large-scale problems Surv. Math. Indust. 3 253-315
    • (1993) Surv. Math. Indust. , vol.3 , pp. 253-315
    • Hanke, M.1    Hanson, P.C.2
  • 16
    • 0040893030 scopus 로고
    • A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
    • Hanke M, Neubauer A and Scherzer O 1995 A convergence analysis of the Landweber iteration for nonlinear ill-posed problems Numer. Math. 72 21-37
    • (1995) Numer. Math. , vol.72 , pp. 21-37
    • Hanke, M.1    Neubauer, A.2    Scherzer, O.3
  • 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 13 729-53
    • (1997) Inverse Problems , vol.13 , pp. 729-753
    • Kaltenbacher, B.1
  • 20
    • 0002573485 scopus 로고
    • Error bounds for regularized solutions of nonlinear ill-posed problems
    • Köhler J and Tautenhahn U 1995 Error bounds for regularized solutions of nonlinear ill-posed problems J. Inverse Ill-Posed Problems 3 47-74
    • (1995) J. Inverse Ill-Posed Problems , vol.3 , pp. 47-74
    • Köhler, J.1    Tautenhahn, U.2
  • 21
    • 0003678262 scopus 로고
    • Inverse und schlecht gestellte Probleme
    • (Stuttgart: Teubner) English translation in preparation
    • Louis A K 1989 Inverse und schlecht gestellte Probleme Studienbücher Mathematik (Stuttgart: Teubner) English translation in preparation
    • (1989) Studienbücher Mathematik
    • Louis, A.K.1
  • 22
    • 0000180631 scopus 로고    scopus 로고
    • Approximative inverse for linear and some nonlinear problems
    • Louis A K 1996 Approximative inverse for linear and some nonlinear problems Inverse Problems 12 175-90
    • (1996) Inverse Problems , vol.12 , pp. 175-190
    • Louis, A.K.1
  • 23
    • 0010252570 scopus 로고    scopus 로고
    • On a general regularization scheme for nonlinear ill-posed problems
    • Tautenhahn U 1997 On a general regularization scheme for nonlinear ill-posed problems Inverse Problems 13 1427-37
    • (1997) Inverse Problems , vol.13 , pp. 1427-1437
    • Tautenhahn, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.