A discrete scheme of landweber iteration for solving nonlinear ill-posed problems
Jin, Qinian Amato, Umberto P.
Jin, Qinian
Amato, Umberto P.
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2001-01-01
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Qinian Jin, Umberto Amato, A Discrete Scheme of Landweber Iteration for Solving Nonlinear Ill-Posed Problems, Journal of Mathematical Analysis and Applications, Volume 253, Issue 1, 2001, Pages 187-203, ISSN 0022-247X, https://doi.org/10.1006/jmaa.2000.7090.
Abstract
In this paper we consider the finite dimensional approximation of Landweber iteration for nonlinear ill-posed problems and propose an a posteriori stopping rule to choose the termination index of the iteration. Under certain conditions, we obtain convergence, a pseudo-optimality estimate, and rates of convergence. A numerical example is given to test the theoretical assertions. © 2001 Academic Press.
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This is an open access article under the CC BY license.
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Academic Press Inc.
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Journal of Mathematical Analysis and Applications
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0022247X