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Volumn 100, Issue 1, 1999, Pages 161-180

Adaptive strategy for the damping parameters in an iteratively regularized Gauss-Newton method

Author keywords

Iteratively regularized Gauss Newton method; Nonlinear ill posed problems; Nonlinear least square problems; Parameter identification

Indexed keywords

DAMPING; GAUSSIAN DISTRIBUTION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL OPERATORS; NEWTON-RAPHSON METHOD; PROBLEM SOLVING;

EID: 0033246212     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021773116353     Document Type: Article
Times cited : (2)

References (14)
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    • 3. BLASCHKE, B., NEUBAUER, A., and SCHERZER, O., On Convergence Rates for the Iteratively Regularized Gauss-Newton Method, IMA Journal of Numerical Analysis, Vol. 17, pp. 421-436, 1997.
    • (1997) IMA Journal of Numerical Analysis , vol.17 , pp. 421-436
    • Blaschke, B.1    Neubauer, A.2    Scherzer, O.3
  • 4
    • 21344485372 scopus 로고
    • Convergence of Newton-like methods for singular operator equations using outer inverses
    • 4. NASHED, M. Z., and CHEN, X., Convergence of Newton-Like Methods for Singular Operator Equations Using Outer Inverses, Numerische Mathematik, Vol. 66, pp. 235-257, 1993.
    • (1993) Numerische Mathematik , vol.66 , pp. 235-257
    • Nashed, M.Z.1    Chen, X.2
  • 5
    • 0031275314 scopus 로고    scopus 로고
    • Regularizing properties of a truncated Newton-CG algorithm for nonlinear inverse problems
    • 5. HANKE, M., Regularizing Properties of a Truncated Newton-CG Algorithm for Nonlinear Inverse Problems, Numerical Functional Analysis and Optimization, Vol. 18, pp. 971-993, 1997.
    • (1997) Numerical Functional Analysis and Optimization , vol.18 , pp. 971-993
    • Hanke, M.1
  • 11
    • 36149030945 scopus 로고
    • Convergence rates for Tikhonov regularization of nonlinear ill-posed problems
    • 11. ENGL, H. W., KUNISCH, K., and NEUBAUER, A., Convergence Rates for Tikhonov Regularization of Nonlinear Ill-Posed Problems, Inverse Problems, Vol. 5, pp. 523-540, 1989.
    • (1989) Inverse Problems , vol.5 , pp. 523-540
    • Engl, H.W.1    Kunisch, K.2    Neubauer, A.3
  • 12
    • 0032122772 scopus 로고    scopus 로고
    • A modified landweber iteration for solving parameter estimation problems
    • 12. SCHERZER, O., A Modified Landweber Iteration for Solving Parameter Estimation Problems, Applied Mathematics and Optimization, Vol. 38, pp. 45-68, 1998.
    • (1998) Applied Mathematics and Optimization , vol.38 , pp. 45-68
    • Scherzer, O.1
  • 13
    • 84972955608 scopus 로고
    • Finite-dimensional approximation of Tikhonov regularized solutions of nonlinear ill-posed problems
    • 13. NEUBAUER, A., and SCHERZER, O., Finite-Dimensional Approximation of Tikhonov Regularized Solutions of Nonlinear Ill-Posed Problems, Numerical Functional Analysis and Optimization, Vol. 11, pp. 85-99, 1989.
    • (1989) Numerical Functional Analysis and Optimization , vol.11 , pp. 85-99
    • Neubauer, A.1    Scherzer, O.2
  • 14
    • 0040893030 scopus 로고
    • A convergence analysis of the landweber iteration for nonlinear ill-posed problems
    • 14. HANKE, M., NEUBAUER, A., and SCHERZER, O., A Convergence Analysis of the Landweber Iteration for Nonlinear Ill-Posed Problems, Numerische Mathematik, Vol. 72, pp. 21-37, 1995.
    • (1995) Numerische Mathematik , vol.72 , pp. 21-37
    • Hanke, M.1    Neubauer, A.2    Scherzer, O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.