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• W2036696673 abstract "We develop a general convergence analysis for a class of inexact Newton-type regularizations for stably solving nonlinear ill-posed problems. Each of the methods under consideration consists of two components: the outer Newton iteration and an inner regularization scheme which, applied to the linearized system, provides the update. In this paper we give a novel and unified convergence analysis which is not confined to a specific inner regularization scheme but applies to a multitude of schemes including Landweber and steepest decent iterations, iterated Tikhonov method, and method of conjugate gradients." @default.
• W2036696673 created "2016-06-24" @default.
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• W2036696673 date "2009-09-15" @default.
• W2036696673 modified "2023-09-26" @default.
• W2036696673 title "Towards a general convergence theory for inexact Newton regularizations" @default.
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• W2036696673 doi "https://doi.org/10.1007/s00211-009-0256-0" @default.
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