Andreas Neubauer,
"On Landweber iteration for nonlinear ill-posed problems in Hilbert scales"
, in Numerische Mathematik, 2000, A. Neubauer, On Landweber iteration for nonlinear ill-posed problems in Hilbert scales, Numerische Mathematik 85 (2000), 309-328
Original Titel:
On Landweber iteration for nonlinear ill-posed problems in Hilbert scales
Sprache des Titels:
Englisch
Englische Kurzfassung:
In this paper we derive convergence rates results for Landweber iteration in Hilbert scales in terms of the iteration index k for exact data and in terms of the noise level δ for perturbed data. These results improve
the one obtained recently for Landweber iteration for nonlinear ill-posed problems in Hilbert spaces. The conditions needed to obtain the rates are illustrated for a nonlinear Hammerstein integral equation.
Journal:
Numerische Mathematik
Erscheinungsjahr:
2000
Notiz zum Zitat:
A. Neubauer, On Landweber iteration for nonlinear ill-posed problems in Hilbert scales, Numerische Mathematik 85 (2000), 309-328