Iterative Solution Methods

Martin Burger (), Barbara Kaltenbacher () and Andreas Neubauer ()
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Martin Burger: University of Münster, Institute for Computational and Applied Mathematics
Barbara Kaltenbacher: Alpen-Adria-Universität Klagenfurt, Institut für Mathematik
Andreas Neubauer: Johannes Kepler University Linz, Industrial Mathematics Institute

A chapter in Handbook of Mathematical Methods in Imaging, 2015, pp 431-470 from Springer

Abstract: Abstract This chapter deals with iterative methods for nonlinear ill-posed problems. We present gradient and Newton type methods as well as nonstandard iterative algorithms such as Kaczmarz, expectation maximization, and Bregman iterations. Our intention here is to cite convergence results in the sense of regularization and to provide further references to the literature.

Keywords: Bregman Iteration; Gauss-Newton Type Method; Landweber Iteration; Minimal Error Method; Iterative Regularization (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0790-8_9

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DOI: 10.1007/978-1-4939-0790-8_9

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