A simplified generalized Gauss-Newton method for nonlinear ill-posed problems

Mathematics of Computation

Volumn 78, Issue 265, 2009, Pages 171-184

  Mahale, Pall Avi ^a   Nair, M Thamban ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58149239967     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-08-02149-2     Document Type: Article

References (9)

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3. Kaltenbachcr, Barbara (1998): A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems, Numcrischc Mathcrnatik, 79, 501-528. MR1631677 (991:65091)
4. Blaschke, B., Neubauer, A., Scherzer, O. (1997): On convergence rates for the iteratively regularized Gauss-Newton method, IMA J. Numer. Anal., 17, 421-436. MR1459331 (98f:65066)
5. Hohage, T. (1997): Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem, Inverse Problems, 13, 1279-1299. MR1474369 (98k:65031)
6. Hohage, T. (1999): Iterative methods in inverse obstacle scattering: Regularization theory of linear and nonlinear exponentially ill-posed problems, Ph.D. Thesis, Johannes Kepler University, Linz, Austria.
7. Hohage, T. (2000): Regularization of exponentially ill-posed problems, Numer. Funct. Anal. & Optim., 21, 439-464. MR1769885 (2001e:65095)
8. Langer, S., Hohage, T. (2007): Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions, J. of Inverse & Ill-Posed Problems, 15, 19-35. MR2337589
9. Mathé, P., Pereverzcv, S. (2003): Geometry of ill-posed problems in variable Hilbert scales, Inverse Problems, 19, 789-803. MR1984890 (2004i:47021)