A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems

Otmar Scherzer

doi:10.1080/01630569608816691

A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems

Otmar Scherzer

Institut für Industriemathematik

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

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.

Originalsprache	Englisch
Seiten (von - bis)	197-214
Seitenumfang	18
Fachzeitschrift	Numerical Functional Analysis and Optimization
Volume	17
Ausgabenummer	1-2
DOIs	https://doi.org/10.1080/01630569608816691
Publikationsstatus	Veröffentlicht - 1996

Wissenschaftszweige

101 Mathematik
101020 Technische Mathematik

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10.1080/01630569608816691

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