Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer,
"On convergence rates for the iteratively regularized Gauss-Newton method"
, in IMA Journal of Numerical Analysis, 1997, B. Blaschke, A. Neubauer, and O. Scherzer, On convergence rates
for the iteratively regularized Gauss-Newton method, IMA Journal of Numer.Anal. 17 (1997), 421-436
Original Titel:
On convergence rates for the iteratively regularized Gauss-Newton method
Sprache des Titels:
Englisch
Englische Kurzfassung:
In this paper we prove that the iteratively regularized
Gauss-Newton method is a locally convergent method for solving nonlinear ill-posed problems, provided the nonlinear operator satisfies a certain
smoothness condition. For perturbed data we propose a priori and a posteriori stopping rules that guarantee convergence of the iterates, if the noise level
goes to zero. Under appropriate closeness and smoothness conditions on the exact solution we obtain the same convergence rates as for linear ill-posed problems.
Journal:
IMA Journal of Numerical Analysis
Erscheinungsjahr:
1997
Notiz zum Zitat:
B. Blaschke, A. Neubauer, and O. Scherzer, On convergence rates
for the iteratively regularized Gauss-Newton method, IMA Journal of Numer.Anal. 17 (1997), 421-436
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift