A convergence analysis of the iteratively regularized Gauss-Newton method under the Lipschitz condition
Date
2008
Authors
Jin, Qinian
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Publisher
Institute of Physics Publishing
Abstract
In this paper we consider the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed inverse problems. Under merely the Lipschitz condition, we prove that this method together with an a posteriori stopping rule defines an order optimal regularization method if the solution is regular in some suitable sense.
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Keywords: Differential equations; Inverse problems; Iterative methods; Newton-Raphson method; A posteriori; Convergence Analysis; Gauss-Newton methods; Ill-posed; Lipschitz conditions; Optimal regularization; Stopping rules; Convergence of numerical methods
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Inverse Problems
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Journal article
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2037-12-31
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