Preconditioned Newton methods for ill-posed problems

Type: Dissertation

Publication Date: 2007-01-01

Citations: 0

DOI: https://doi.org/10.53846/goediss-2466

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Citing (41)

Action Title Year Authors
+ On the solution of functional equations by the method of regularization 1966 В. А. Морозов
+ A NUMERICAL METHOD FOR AN INVERSE SCATTERING PROBLEM 1987 Andreas Kirsch
Rainer Kreß
+ Inverse und schlecht gestellte Probleme 1989 Alfred K. Louis
+ Iterative Solution Methods 1994 Owe Axelsson
+ Geometry of linear ill-posed problems in variable Hilbert scales 2003 Peter Math�
Sergei V. Pereverzev
+ PDF Chat Restoring Images Degraded by Spatially Variant Blur 1998 James G. Nagy
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+ Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques 1996 Martin Hanke
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+ Some Newton-type methods for the regularization of nonlinear ill-posed problems 1997 Barbara Kaltenbacher
+ Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems 1973 G. W. Stewart
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+ Deflation of Conjugate Gradients with Applications to Boundary Value Problems 1987 R. A. Nicolaides
+ Error estimates for solutions of incorrectly posed linear problems 1969 В. К. Иванов
T.I. Korolyuk
+ Preconditioning Landweber iteration in Hilbert scales 2005 Herbert Egger
Andreas B. Neubauer
+ On the regularization of nonlinear ill-posed problems via inexact Newton iterations 1999 Andreas Rieder
+ Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data 1979 Avraham A. Melkman
Charles A. Micchelli
+ Which Eigenvalues Are Found by the Lanczos Method? 2000 Arno B. J. Kuijlaars
+ The rate of convergence of Conjugate Gradients 1986 A. van der Sluis
H.A. van der Vorst
+ Regularization of exponentially ill-posed problems 2000 Thorsten Hohage
+ PDF Chat On the Construction of Deflation-Based Preconditioners 2001 J. Frank
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+ The discretized discrepancy principle under general source conditions 2006 Peter Mathé
Sergei V. Pereverzev
+ Some Superlinear Convergence Results for the Conjugate Gradient Method 1980 Ragnar Winther
+ An iteration method for the solution of the eigenvalue problem of linear differential and integral operators 1950 Cornelius Lanczos
+ Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem 2005 Thorsten Hohage
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+ Methods of conjugate gradients for solving linear systems 1952 Magnus R. Hestenes
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+ On orthogonal polynomials 1975 P. Túrán
+ Iterative Methods for Approximate Solution of Inverse Problems 2004 Anatoly B. Bakushinsky
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