Inverse Problems, volume 33, issue 9, pages 95004

Convergence analysis of a two-point gradient method for nonlinear ill-posed problems

Simon Hubmer ¹

R. Ramlau ²

Johannes Kepler University Linz, Doctoral Program Computational Mathematics, Altenbergerstraße 69, A-4040 Linz, Austria |

Johannes Kepler University Linz, Institute of Industrial Mathematics, Altenbergerstraße 69, A-4040 Linz, Austria |

Publication type: Journal Article

Publication date: 2017-08-01

IOP Publishing

Journal: Inverse Problems

scimago Q1

SJR: 1.185

CiteScore: 4.4

Impact factor: 2

ISSN: 02665611, 13616420

DOI: 10.1088/1361-6420/aa7ac7

Copy DOI

Computer Science Applications

Mathematical Physics

Applied Mathematics

Theoretical Computer Science

Signal Processing

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.

Found

	2 4 6 8 10 12 14 16 18
Inverse Problems	Inverse Problems, 17, 37.78% Inverse Problems 17 publications, 37.78%
Journal of Computational and Applied Mathematics	Journal of Computational and Applied Mathematics, 6, 13.33% Journal of Computational and Applied Mathematics 6 publications, 13.33%
Applied Numerical Mathematics	Applied Numerical Mathematics, 5, 11.11% Applied Numerical Mathematics 5 publications, 11.11%
SIAM Journal on Imaging Sciences	SIAM Journal on Imaging Sciences, 4, 8.89% SIAM Journal on Imaging Sciences 4 publications, 8.89%
Numerische Mathematik	Numerische Mathematik, 2, 4.44% Numerische Mathematik 2 publications, 4.44%
Applicable Analysis	Applicable Analysis, 2, 4.44% Applicable Analysis 2 publications, 4.44%
Computational and Applied Mathematics	Computational and Applied Mathematics, 2, 4.44% Computational and Applied Mathematics 2 publications, 4.44%
Mathematics	Mathematics, 1, 2.22% Mathematics 1 publication, 2.22%
Mathematics and Computers in Simulation	Mathematics and Computers in Simulation, 1, 2.22% Mathematics and Computers in Simulation 1 publication, 2.22%
IMA Journal of Numerical Analysis	IMA Journal of Numerical Analysis, 1, 2.22% IMA Journal of Numerical Analysis 1 publication, 2.22%
Inverse Problems and Imaging	Inverse Problems and Imaging, 1, 2.22% Inverse Problems and Imaging 1 publication, 2.22%
Advances in Applied Mathematics	Advances in Applied Mathematics, 1, 2.22% Advances in Applied Mathematics 1 publication, 2.22%
SIAM Journal on Applied Mathematics	SIAM Journal on Applied Mathematics, 1, 2.22% SIAM Journal on Applied Mathematics 1 publication, 2.22%
Journal of Complexity	Journal of Complexity, 1, 2.22% Journal of Complexity 1 publication, 2.22%
	2 4 6 8 10 12 14 16 18

	2 4 6 8 10 12 14 16 18
IOP Publishing	IOP Publishing, 17, 37.78% IOP Publishing 17 publications, 37.78%
Elsevier	Elsevier, 13, 28.89% Elsevier 13 publications, 28.89%
Society for Industrial and Applied Mathematics (SIAM)	Society for Industrial and Applied Mathematics (SIAM), 5, 11.11% Society for Industrial and Applied Mathematics (SIAM) 5 publications, 11.11%
Springer Nature	Springer Nature, 4, 8.89% Springer Nature 4 publications, 8.89%
Taylor & Francis	Taylor & Francis, 2, 4.44% Taylor & Francis 2 publications, 4.44%
MDPI	MDPI, 1, 2.22% MDPI 1 publication, 2.22%
Oxford University Press	Oxford University Press, 1, 2.22% Oxford University Press 1 publication, 2.22%
American Institute of Mathematical Sciences (AIMS)	American Institute of Mathematical Sciences (AIMS), 1, 2.22% American Institute of Mathematical Sciences (AIMS) 1 publication, 2.22%
Hans Publishers	Hans Publishers, 1, 2.22% Hans Publishers 1 publication, 2.22%
	2 4 6 8 10 12 14 16 18

Are you a researcher?

Create a profile to get free access to personal recommendations for colleagues and new articles.

Metrics

Cite this

GOST | RIS | BibTex | MLA

Found error?

Publisher

IOP Publishing

Journal

Inverse Problems

scimago Q1

SJR

1.185

CiteScore

4.4

Impact factor

ISSN

02665611 (Print)

13616420 (Electronic)

Convergence analysis of a two-point gradient method for nonlinear ill-posed problems

Top-30

Journals

Publishers

Are you a researcher?