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A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems

Jin, Qinian


We consider the methods xn+1δ = xnδ-gαn (F′(xnδ)*F′( xnδ))F′( xnδ)′(F(xnδ)- yδ) for solving nonlinear ill-posed inverse problems F(x) = y using the only available noise data yδ satisfying ∥yδ - y∥ ≤ δ with a given small noise leve

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: SIAM Journal of Numerical Analysis
DOI: 10.1137/100804231


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