Otmar Scherzer,
"A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems"
, in Numerical Functional Analysis and Optimization, 1996, O. Scherzer, A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems, Num. Funct. Anal. Opt. 17 (1996), 197-214
Original Titel:
A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems
Sprache des Titels:
Englisch
Englische Kurzfassung:
In this paper we prove that the steepest descent iteration and a two-step are stable methods for solving nonlinear ill-posed problems. For perturbed data with noise level delta we propose stopping rules that yield convergence of the iterates.
Journal:
Numerical Functional Analysis and Optimization
Erscheinungsjahr:
1996
Notiz zum Zitat:
O. Scherzer, A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems, Num. Funct. Anal. Opt. 17 (1996), 197-214
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift