Convergence Analysis of a Two-Point Gradient Method for Nonlinear Ill-Posed Problems

Simon Hubmer; Ronny Ramlau

doi:10.1088/1361-6420/aa7ac7

Convergence Analysis of a Two-Point Gradient Method for Nonlinear Ill-Posed Problems

Institut für Industriemathematik

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

We perform a convergence analysis of a two-point gradient method which is based on Landweber iteration and on Nesterov's acceleration scheme. Additionally, we show the usefulness of this method via two numerical example problems based on a nonlinear Hammerstein operator and on the nonlinear inverse problem of single photon emission computed tomography.

Originalsprache	Englisch
Aufsatznummer	095004
Seiten (von - bis)	095004
Seitenumfang	30
Fachzeitschrift	Inverse Problems
Volume	33
Ausgabenummer	9
DOIs	https://doi.org/10.1088/1361-6420/aa7ac7
Publikationsstatus	Veröffentlicht - 01 Aug. 2017

Wissenschaftszweige

101 Mathematik
101020 Technische Mathematik

JKU-Schwerpunkte

TNF Allgemein

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10.1088/1361-6420/aa7ac7

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