On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems

Numerische Mathematik

Volumn 115, Issue 1, 2010, Pages 71-79

  Hochbruck, Marlis ^a   Hönig, Michael ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 76749101072     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-009-0268-9     Document Type: Article

References (9)

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3. Hochbruck M., Hönig M., Ostermann A.: A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems. Inverse Probl. 25(7), 075009 (2009).
4. Jin, Q.: On a regularized Levenberg-Marquardt method for solving nonlinear inverse problems. Tech. rep., University of Texas at Austin (2009).
5. Jin Q., Tautenhahn U.: On the discrepancy principles for some Newton type methods for solving nonlinear inverse problems. Numer. Math. 111(4), 509-558 (2009).
6. Kaltenbacher B., Neubauer A., Scherzer O.: Iterative Regularization Methods for Nonlinear Ill-Posed Problems. De Gruyter, Berlin, New York (2008).
7. Rieder A.: On the regularization of nonlinear ill-posed problems via inexact Newton iterations. Inverse Probl. 15(1), 309-327 (1999).
8. Rieder A.: On convergence rates of inexact Newton regularizations. Numer. Math. 88(2), 347-365 (2001).
9. Tautenhahn U.: On the asymptotical regularization of nonlinear ill-posed problems. Inverse Probl. 10(6), 1405-1418 (1994).