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Inverse Problems
Volumn 13, Issue 5, 1997, Pages 1279-1299
Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem
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EID: 0000670255     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/5/012     Document Type: Article
Times cited : (158)
References (15)
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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. Maths Math. Phys. 32 1353-9
    • (1992) Comput. Maths 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. Num. Anal. 17 421-36
    • (1997) IMA J. Num. Anal. , vol.17 , pp. 421-436
    • Blaschke, B.1    Neubauer, A.2    Scherzer, O.3
  • 4
    • 0000298487 scopus 로고    scopus 로고
    • Iterative methods for the reconstruction of an inverse potential problem
    • Hettlich F and Rundell W 1996 Iterative methods for the reconstruction of an inverse potential problem Inverse Problems 12 251-66
    • (1996) Inverse Problems , vol.12 , pp. 251-266
    • Hettlich, F.1    Rundell, W.2
  • 5
    • 0029323644 scopus 로고
    • Identification of a core from boundary data
    • Ring W 1995 Identification of a core from boundary data SIAM J. Appl. Math. 55 677-706
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 677-706
    • Ring, W.1
  • 6
    • 36149033735 scopus 로고
    • The domain derivative and two applications in inverse scattering theory
    • Kirsch A 1993 The domain derivative and two applications in inverse scattering theory Inverse Problems 9 81-96
    • (1993) Inverse Problems , vol.9 , pp. 81-96
    • Kirsch, A.1
  • 7
    • 0345832645 scopus 로고
    • Integral equation methods in inverse obstacle scattering
    • Kress R 1995 Integral equation methods in inverse obstacle scattering Eng. Anal. Bound. Elements 15 171-9
    • (1995) Eng. Anal. Bound. Elements , vol.15 , pp. 171-179
    • Kress, R.1
  • 8
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    • Two methods for solving the inverse acoustic scattering problem
    • Kirsch A, Kress R, Monk P and Zinn A 1988 Two methods for solving the inverse acoustic scattering problem Inverse Problems 4 749-70
    • (1988) Inverse Problems , vol.4 , pp. 749-770
    • Kirsch, A.1    Kress, R.2    Monk, P.3    Zinn, A.4
  • 12
    • 0000631543 scopus 로고
    • Fréchet differentiability of boundary integral operators in inverse scattering
    • Potthast R 1994 Fréchet differentiability of boundary integral operators in inverse scattering Inverse Problems 10 431-47
    • (1994) Inverse Problems , vol.10 , pp. 431-447
    • Potthast, R.1
  • 14
    • 0024767153 scopus 로고
    • Surface gradients and continuity properties for some integral operators in classical scattering theory
    • Kirsch A 1989 Surface gradients and continuity properties for some integral operators in classical scattering theory Math. Methods Appl. Sci. 11 789-804
    • (1989) Math. Methods Appl. Sci. , vol.11 , pp. 789-804
    • Kirsch, A.1
  • 15
    • 0000865204 scopus 로고
    • A quasi-Newton method in inverse obstacle scattering inverse
    • Kress R and Rundell W 1994 A quasi-Newton method in inverse obstacle scattering inverse Problems 10 1145-57
    • (1994) Problems , vol.10 , pp. 1145-1157
    • Kress, R.1    Rundell, W.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.