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On convergence rates of inexact Newton regularizations

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Summary.

REGINN is an algorithm of inexact Newton type for the regularization of nonlinear ill-posed problems [Inverse Problems 15 (1999), pp. 309–327]. In the present article convergence is shown under weak smoothness assumptions (source conditions). Moreover, convergence rates are established. Some computational illustrations support the theoretical results.

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Authors and Affiliations

  1. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung (IWRMM), Universität Karlsruhe, 76128 Karlsruhe, Germany; e-mail: andreas.rieder@math.uni-karlsruhe.de , , , , , , DE

    Andreas Rieder

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  1. Andreas Rieder
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Received March 12, 1999 / Published online October 16, 2000

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Rieder, A. On convergence rates of inexact Newton regularizations. Numer. Math. 88, 347–365 (2001). https://doi.org/10.1007/PL00005448

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  • DOI: https://doi.org/10.1007/PL00005448

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