Thorsten Hohage,
"Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem"
, in Inverse Problems, 1997, T. Hohage, Logarithmic convergence rates of the iteratively regularized Gauß-Newton method for an inverse potential and an inverse scatteringproblem, Inverse Problems 13 (1997), 1279-1299
Original Titel:
Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem
Sprache des Titels:
Englisch
Englische Kurzfassung:
Convergence and logarithmic convergence rates of the iteratively regularized Gauss-Newton method in a Hilbert space setting are proven provided a logarithmic source condition is satisfied. This method is applied to
an inverse potential and an inverse scattering problem, and the source condition is interpreted as a smoothness condition in terms of Sobolev spaces for the case where the domain is a circle. Numerical experiments yield
convergence and convergence rates of the form expected by our general convergence theorem.
Journal:
Inverse Problems
Erscheinungsjahr:
1997
Notiz zum Zitat:
T. Hohage, Logarithmic convergence rates of the iteratively regularized Gauß-Newton method for an inverse potential and an inverse scatteringproblem, Inverse Problems 13 (1997), 1279-1299