A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems
Abstract
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
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SIAM Journal of Numerical Analysis
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2037-12-31
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