Acceleration of the generalized Landweber method in Banach spaces via sequential subspace optimization : Journal of Inverse and Ill-posed Problems

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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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

F. Schöpfer1 / T. Schuster2

1Fakultät für Maschinenbau, Helmut-Schmidt-Universität, Holstenhofweg 85, 22043 Hamburg, Germany. Email:

2Fakultät für Maschinenbau, Helmut-Schmidt-Universität, Holstenhofweg 85, 22043 Hamburg, Germany. Email:

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 17, Issue 1, Pages 91–99, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2009.011, February 2009

Publication History

Received:
2008-07-25
Published Online:
2009-02-04

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

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