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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


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Online
ISSN
1569-3945
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Volume 17, Issue 1 (Jan 2009)

Issues

Acceleration of the generalized Landweber method in Banach spaces via sequential subspace optimization

F. Schöpfer
  • Fakultät für Maschinenbau, Helmut-Schmidt-Universität, Holstenhofweg 85, 22043 Hamburg, Germany. Email:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ T. Schuster
  • Fakultät für Maschinenbau, Helmut-Schmidt-Universität, Holstenhofweg 85, 22043 Hamburg, Germany. Email:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2009-02-04 | DOI: https://doi.org/10.1515/JIIP.2009.011

Abstract

The Landweber method is a well-known iterative procedure to compute regularized solutions of linear operator equations in Hilbert spaces. Unfortunately it is also known to be very slow. Likewise its generalization to Banach spaces has good regularizing properties but slow convergence. This article intends to give a short survey about the use of sequential subspace optimization to accelerate this method while preserving its regularizing properties.

Key words.: sequential subspace optimization; regularization; Banach spaces; acceleration; Landweber method

About the article

Received: 2008-07-25

Published Online: 2009-02-04

Published in Print: 2009-02-01


Citation Information: Journal of Inverse and Ill-posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/JIIP.2009.011.

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