Results 1 to 10 of about 3,837 (161)
A New Hybrid Inversion Method for 2D Nuclear Magnetic Resonance Combining TSVD and Tikhonov Regularization [PDF]
Journal of Imaging, 2021 This paper is concerned with the reconstruction of relaxation time distributions in Nuclear Magnetic Resonance (NMR) relaxometry. This is a large-scale and ill-posed inverse problem with many potential applications in biology, medicine, chemistry, and ...
Germana Landi +2 more
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A new Tikhonov regularization method [PDF]
Numerical Algorithms, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lothar Reichel, Reichel Lothar
exaly +3 more sources
Optimal Tikhonov regularization for DEER spectroscopy. [PDF]
J Magn Reson, 2018 Tikhonov regularization is the most commonly used method for extracting distance distributions from experimental double electron-electron resonance (DEER) spectroscopy data. This method requires the selection of a regularization parameter, α, and a regularization operator, L.
Edwards TH, Stoll S.
europepmc +4 more sources
Extrapolation of Tikhonov regularization method
Mathematical Modelling and Analysis, 2010 We consider regularization of linear ill‐posed problem Au = f with noisy data fδ, ¦fδ - f¦≤ δ . The approximate solution is computed as the extrapolated Tikhonov approximation, which is a linear combination of n ≥ 2 Tikhonov approximations with different
Uno Hämarik, Reimo Palm, Toomas Raus
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Augmented Tikhonov Regularization Method for Dynamic Load Identification
Applied Sciences (Switzerland), 2020 We introduce the augmented Tikhonov regularization method motivated by Bayesian principle to improve the load identification accuracy in seriously ill-posed problems.
M Shadi Mohamed +2 more
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On fractional Tikhonov regularization [PDF]
Journal of Inverse and Ill-Posed Problems, 2015 Abstract It is well known that Tikhonov regularization in standard form may determine approximate solutions that are too smooth, i.e., the approximate solution may lack many details that the desired exact solution might possess. Two different approaches, both referred to as fractional Tikhonov methods have been introduced to remedy this ...
Ronny Ramlau +2 more
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Influence of the Tikhonov Regularization Parameter on the Accuracy of the Inverse Problem in Electrocardiography [PDF]
Sensors, 2023 Joel M H Karel +2 more
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A Posteriori Fractional Tikhonov Regularization Method for the Problem of Analytic Continuation
Mathematics, 2021 In this paper, the numerical analytic continuation problem is addressed and a fractional Tikhonov regularization method is proposed. The fractional Tikhonov regularization not only overcomes the difficulty of analyzing the ill-posedness of the ...
Xuemin Xue, Xiangtuan Xiong
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Algorithms, 2023 This paper aims to determine whether regularization improves image reconstruction in electrical impedance tomography (EIT) using a radial basis network. The primary purpose is to investigate the effect of regularization to estimate the network parameters
Chowdhury Abrar Faiyaz +4 more
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Tikhonov Regularization with a Solution Constraint [PDF]
SIAM Journal on Scientific Computing, 2004 The authors consider a constrained minimization regularization formulation of a given, ill-conditioned linear system, which is equivalent with the classical Tikhonov one. This new problem is solved by a modified version of an algorithm previously proposed by \textit{G. H. Golub} and \textit{U. von Matt} [Numer. Math. 59, No.~6, 561--580 (1991; Zbl 0745.
Daniela Calvetti, Lothar Reichel
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