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Can I read Newton Methods for Nonlinear Inverse Problems with Random Noise on EtoBox?
Newton Methods for Nonlinear Inverse Problems with Random Noise by Frank Bauer; Thorsten Hohage; Axel Munk is a Engineering article available to read on EtoBox.
What is Newton Methods for Nonlinear Inverse Problems with Random Noise about?
## Abstract We study the convergence of regularized Newton methods applied to nonlinear operator equations in Hilbert spaces if the data are perturbed by random noise. We show that under certain conditions it is possible to achieve the minimax rates of the corresponding linearized problem if the smoothness of the solution is known. If the smoothness is unknown and the stopping index is determined by Lepskij's balancing principle, we show that the rates remain the same up to a logarithmic factor due to adaptation. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Who reads Newton Methods for Nonlinear Inverse Problems with Random Noise?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Frank Bauer; Thorsten Hohage; Axel Munk
- Publisher
- John Wiley and Sons; Wiley (John Wiley & Sons); Wiley (ISSN 1617-7061)
- Published
- 2007
- Language
- EN
- Field
- Engineering (Physical Sciences)