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Frozen Landweber Iteration for Nonlinear Ill-Posed Problems

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Abstract

In this paper we propose a modification of the Landweber iteration termed frozen Landweber iteration for nonlinear ill-posed problems. A convergence analysis for this iteration is presented. The numerical performance of this frozen Landweber iteration for a nonlinear Hammerstein integral equation is compared with that of the Landweber iteration. We obtain a shorter running time of the frozen Landweber iteration based on the same convergence accuracy.

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Correspondence to J. Xu.

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Xu, J., Han, B. & Li, L. Frozen Landweber Iteration for Nonlinear Ill-Posed Problems. Acta Mathematicae Applicatae Sinica, English Series 23, 329–336 (2007). https://doi.org/10.1007/s10255-007-0375-2

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  • DOI: https://doi.org/10.1007/s10255-007-0375-2

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