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On the discrepancy principle for some Newton type methods for solving nonlinear inverse problems

Jin, Qinian; Tautenhahn, Ulrich

Description

We consider the computation of stable approximations to the exact solution x† of nonlinear ill-posed inverse problems F(x) = y with nonlinear operators F : X → Y between two Hilbert spaces X and Y by the Newton type methods xk+1δ=x0-g αk(F'(xkδ) *F

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
URI: http://hdl.handle.net/1885/28663
Source: Numerische Mathematik
DOI: 10.1007/s00211-008-0198-y

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