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Inverse Problems
Volumn 16, Issue 5, 2000, Pages 1457-1476
The analysis of a discrete scheme of the iteratively regularized Gauss-Newton method
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EID: 0347608516     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/16/5/319     Document Type: Article
Times cited : (3)
References (14)
  • 2
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    • 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 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
  • 6
    • 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
  • 7
    • 0040893030 scopus 로고
    • A convergence analysis of Landweber iteration for nonlinear ill-posed problems
    • Hanke M, Neubauer A and Scherzer O 1995 A convergence analysis of 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
  • 8
    • 0034373413 scopus 로고    scopus 로고
    • On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
    • Jin Q N 2000 On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems Math. Comput. 69 1603-23
    • (2000) Math. Comput. , vol.69 , pp. 1603-1623
    • Jin, Q.N.1
  • 9
    • 0039447792 scopus 로고    scopus 로고
    • On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems
    • Jin Q N and Hou Z Y 1999 On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems Numer. Math. 83 139-59
    • (1999) Numer. Math. , vol.83 , pp. 139-159
    • Jin, Q.N.1    Hou, Z.Y.2
  • 10
    • 0032393455 scopus 로고    scopus 로고
    • A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems
    • Kaltenbacher B 1998 A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems Numer. Math. 79 501-28
    • (1998) Numer. Math. , vol.79 , pp. 501-528
    • Kaltenbacher, B.1
  • 11
    • 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
  • 12
    • 0027802743 scopus 로고
    • Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems
    • Scherzer O, Engl H W and Kunisch K 1993 Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems SIAM J. Numer. Anal. 30 1796-838
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1796-1838
    • Scherzer, O.1    Engl, H.W.2    Kunisch, K.3
  • 13
    • 0000677992 scopus 로고    scopus 로고
    • On the regularization of nonlinear ill-posed problems via inexact Newton iterations
    • Rieder A 1999 On the regularization of nonlinear ill-posed problems via inexact Newton iterations Inverse Problems 15 309-27
    • (1999) Inverse Problems , vol.15 , pp. 309-327
    • Rieder, A.1
  • 14
    • 0013243263 scopus 로고
    • On the asymptotical regularization of nonlinear ill-posed problems
    • Tautenhahn U 1994 On the asymptotical regularization of nonlinear ill-posed problems Inverse Problems 10 1405-18
    • (1994) Inverse Problems , vol.10 , pp. 1405-1418
    • Tautenhahn, U.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.