Publication Cover
Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 3
152
Views
1
CrossRef citations to date
0
Altmetric
Articles

Solving nonlinear inverse problems by evolution equations based on Gauss–Newton methods

Pages 527-548 | Received 22 May 2011, Accepted 29 Sep 2011, Published online: 31 Oct 2011

References

  • Bakushinskii , AB and Kokurin , MYu . 2004 . Iterative Methods for Approximate Solutions of Inverse Problems, Mathematics and its Applications , Vol. 577 , Dordrecht : Springer .
  • Engl , HW , Hanke , M and Neubauer , A . 1996 . Regularization of Inverse Problems, Mathematics and its Applications , Vol. 375 , Dordrecht : Kluwer Academic .
  • Jin , Q . 2011 . A general convergence analysis of some Newton-type methods for nonlinear inverse problems . SIAM J. Numer. Anal. , 49 : 549 – 573 .
  • Jin , Q and Tautenhahn , U . 2009 . On the discrepancy principle for some Newton type methods for solving nonlinear inverse problems . Numer. Math. , 111 : 509 – 558 .
  • Tautenhahn , U . 1994 . On the asymptotical regularization of nonlinear ill-posed problems . Inverse Probl. , 10 ( 6 ) : 1405 – 1418 .
  • Kaltenbacher , B , Neubauer , A and Ramm , AG . 2002 . Convergence rates of the continuous regularized Gauss–Newton method . J. Inv. Ill-Posed Probl. , 10 ( 3 ) : 261 – 280 .
  • Bakushinskii , AB . 1992 . The problems of the convergence of the iteratively regularized Gauss–Newton method . Comput. Math. Math. Phys. , 32 : 1353 – 1359 .
  • Hanke , M . 1997 . A regularizing Levenberg-Marquardt scheme with applications to inverse groundwater filtration problems . Inverse Probl. , 13 : 79 – 95 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.