Supplement to An A Posteriori Parameter Choice for Ordinary and Iterated Tikhonov Regularization of Ill-Posed Problems Leading to Optimal Convergence Rates

Helmut Gfrerer

doi:10.2307/2008341

Supplement to An A Posteriori Parameter Choice for Ordinary and Iterated Tikhonov Regularization of Ill-Posed Problems Leading to Optimal Convergence Rates

Mathematics of Computation ◽

10.2307/2008341 ◽

1987 ◽

Vol 49 (180) ◽

pp. S5 ◽

Cited By ~ 6

Author(s):

Helmut Gfrerer

Keyword(s):

Tikhonov Regularization ◽

Convergence Rates ◽

A Posteriori ◽

Parameter Choice ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

A Posteriori Parameter Choice ◽

Ill Posed

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An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates

Mathematics of Computation ◽

10.1090/s0025-5718-1987-0906185-4 ◽

1987 ◽

Vol 49 (180) ◽

pp. 507 ◽

Cited By ~ 96

Author(s):

Helmut Gfrerer

Keyword(s):

Tikhonov Regularization ◽

Convergence Rates ◽

A Posteriori ◽

Parameter Choice ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

A Posteriori Parameter Choice ◽

Ill Posed

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An a Posteriori Parameter Choice for Tikhonov Regularization in Hilbert Scales Leading to Optimal Convergence Rates

SIAM Journal on Numerical Analysis ◽

10.1137/0725074 ◽

1988 ◽

Vol 25 (6) ◽

pp. 1313-1326 ◽

Cited By ~ 52

Author(s):

Andreas Neubauer

Keyword(s):

Tikhonov Regularization ◽

Convergence Rates ◽

A Posteriori ◽

Parameter Choice ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

A Posteriori Parameter Choice

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Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates

Journal of Optimization Theory and Applications ◽

10.1007/bf02191771 ◽

1994 ◽

Vol 83 (1) ◽

pp. 217-222 ◽

Cited By ~ 7

Author(s):

S. George ◽

M. T. Nair

Keyword(s):

Convergence Rates ◽

Parameter Choice ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

Ill Posed

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On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems

Numerische Mathematik ◽

10.1007/s002110050442 ◽

1999 ◽

Vol 83 (1) ◽

pp. 139-159 ◽

Cited By ~ 30

Author(s):

Jin Qi-nian ◽

Hou Zong-yi

Keyword(s):

Tikhonov Regularization ◽

A Posteriori ◽

Parameter Choice ◽

Choice Strategy ◽

A Posteriori Parameter Choice ◽

Ill Posed ◽

Parameter Choice Strategy

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Expanding the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-019-00657-w ◽

2019 ◽

Vol 113 (3) ◽

pp. 2813-2826

Author(s):

Ioannis K. Argyros ◽

Yeol Je Cho ◽

Santhosh George ◽

Yi-bin Xiao

Keyword(s):

Tikhonov Regularization ◽

A Posteriori ◽

Parameter Choice ◽

Choice Strategy ◽

A Posteriori Parameter Choice ◽

Ill Posed ◽

Parameter Choice Strategy

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A parameter choice for Tikhonov regularization for solving nonlinear inverse problems leading to optimal convergence rates

Applications of Mathematics ◽

10.21136/am.1993.104570 ◽

1993 ◽

Vol 38 (6) ◽

pp. 479-487 ◽

Cited By ~ 1

Author(s):

Otmar Scherzer

Keyword(s):

Inverse Problems ◽

Tikhonov Regularization ◽

Convergence Rates ◽

Parameter Choice ◽

Nonlinear Inverse Problems ◽

Optimal Convergence ◽

Optimal Convergence Rates

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Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0730091 ◽

1993 ◽

Vol 30 (6) ◽

pp. 1796-1838 ◽

Cited By ~ 92

Author(s):

O. Scherzer ◽

H. W. Engl ◽

K. Kunisch

Keyword(s):

Tikhonov Regularization ◽

A Posteriori ◽

Parameter Choice ◽

A Posteriori Parameter Choice ◽

Ill Posed

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Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates

Journal of Optimization Theory and Applications ◽

10.1007/bf00941281 ◽

1987 ◽

Vol 52 (2) ◽

pp. 209-215 ◽

Cited By ~ 90

Author(s):

H. W. Engl

Keyword(s):

Tikhonov Regularization ◽

Convergence Rates ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

Ill Posed

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Modified Tikhonov regularization for nonlinear ill-posed problems leading to optimal convergence rates

Ill-Posed Problems in Natural Sciences ◽

10.1515/9783112313930-016 ◽

1992 ◽

pp. 104-107

Keyword(s):

Tikhonov Regularization ◽

Convergence Rates ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

Ill Posed

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A posteriori parameter choice for general regularization methods for solving linear ill-posed problems

Applied Numerical Mathematics ◽

10.1016/0168-9274(88)90017-7 ◽

1988 ◽

Vol 4 (5) ◽

pp. 395-417 ◽

Cited By ~ 71

Author(s):

Heinz W. Engl ◽

Helmut Gfrerer

Keyword(s):

Regularization Methods ◽

A Posteriori ◽

Parameter Choice ◽

A Posteriori Parameter Choice ◽

Ill Posed

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