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Inexact Newton regularization methods in Hilbert scales

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Abstract

We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal convergence rate result.

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Authors and Affiliations

  1. Department of Mathematics, Virginia Tech, Blacksburg, VA, 24060, USA

    Qinian Jin

  2. Department of Mathematics, University of Applied Sciences Zittau/Görlitz, PO Box 1454, 02754, Zittau, Germany

    Ulrich Tautenhahn

Authors
  1. Qinian Jin
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  2. Ulrich Tautenhahn
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Correspondence to Qinian Jin.

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Jin, Q., Tautenhahn, U. Inexact Newton regularization methods in Hilbert scales. Numer. Math. 117, 555–579 (2011). https://doi.org/10.1007/s00211-010-0342-3

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  • DOI: https://doi.org/10.1007/s00211-010-0342-3

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