On the second-order asymptotical regularization of linear ill-posed inverse problems

In this paper, we establish an initial theory regarding the second-order asymptotical regularization (SOAR) method for the stable approximate solution of ill-posed linear operator equations in Hilbert spaces, which are models for linear inverse problems with applications in the natural sciences, ima...

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Bibliographic Details
Published in:	Applicable analysis Vol. 99; no. 6; pp. 1000 - 1025
Main Authors:	Zhang, Y., Hofmann, B.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 25.04.2020 Taylor & Francis Ltd
Subjects:	Algorithms Asymptotic properties asymptotical regularization Convergence convergence rate discrepancy principle Hilbert space Ill posed problems index function Inverse problems Iterative methods Linear ill-posed problems Linear operators Michael Klibanov qualification Regularization second-order method source condition
ISSN:	0003-6811, 1563-504X, 1563-504X
Online Access:	Get full text
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