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

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Article number095004
Pages (from-to)095004
Number of pages30
JournalInverse Problems
Volume33
Issue number9
DOIs
Publication statusPublished - 2017

Fields of science

  • 101 Mathematics
  • 101020 Technical mathematics

JKU Focus areas

  • Engineering and Natural Sciences (in general)

Cite this