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

Jin, Qinian; Tautenhahn, Ulrich

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

Date

2009

Authors

Jin, Qinian

Tautenhahn, Ulrich

Publisher

Springer

Abstract

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