A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice

J. T. King; A. Neubauer

doi:10.1007/bf02247939

A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice

Computing ◽

10.1007/bf02247939 ◽

1988 ◽

Vol 40 (2) ◽

pp. 91-109 ◽

Cited By ~ 16

Author(s):

J. T. King ◽

A. Neubauer

Keyword(s):

Tikhonov Regularization ◽

A Posteriori ◽

Parameter Choice ◽

Finite Dimensional ◽

A Posteriori Parameter Choice

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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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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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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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An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error

Applied Numerical Mathematics ◽

10.1016/0168-9274(88)90013-x ◽

1988 ◽

Vol 4 (6) ◽

pp. 507-519 ◽

Cited By ~ 35

Author(s):

A. Neubauer

Keyword(s):

Tikhonov Regularization ◽

A Posteriori ◽

Modeling Error ◽

Parameter Choice ◽

A Posteriori Parameter Choice

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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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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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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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A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations

Advances in Computational Mathematics ◽

10.1007/s10444-011-9229-9 ◽

2011 ◽

Vol 36 (2) ◽

pp. 299-314 ◽

Cited By ~ 9

Author(s):

Xingjun Luo ◽

Fanchun Li ◽

Suhua Yang

Keyword(s):

Integral Equations ◽

Multiscale Methods ◽

A Posteriori ◽

Parameter Choice ◽

Choice Strategy ◽

A Posteriori Parameter Choice ◽

Ill Posed ◽

Parameter Choice Strategy

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An a posteriori parameter choice rule for the truncation regularization method for solving backward parabolic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.04.046 ◽

2014 ◽

Vol 255 ◽

pp. 150-160 ◽

Cited By ~ 6

Author(s):

Yuan-Xiang Zhang ◽

Chu-Li Fu ◽

Yun-Jie Ma

Keyword(s):

Regularization Method ◽

Choice Rule ◽

Parabolic Problems ◽

A Posteriori ◽

Parameter Choice ◽

A Posteriori Parameter Choice

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