Results 1 to 10 of about 3,427 (187)

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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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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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

Augmented Tikhonov Regularization Method for Dynamic Load Identification

Applied Sciences, 2020
We introduce the augmented Tikhonov regularization method motivated by Bayesian principle to improve the load identification accuracy in seriously ill-posed problems.
Jinhui Jiang, Hongzhi Tang, M Shadi Mohamed, Shuyi Luo, Jianding Chen   +4 more
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The Tikhonov Regularization Method for Set-Valued Variational Inequalities [PDF]

Abstract and Applied Analysis, 2012
This paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has ...
Yiran He
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Considering New Regularization Parameter-Choice Techniques for the Tikhonov Method to Improve the Accuracy of Electrocardiographic Imaging

Frontiers in Physiology, 2019
The electrocardiographic imaging (ECGI) inverse problem highly relies on adding constraints, a process called regularization, as the problem is ill-posed.
Judit Chamorro-Servent, Judit Chamorro-Servent, Judit Chamorro-Servent, Judit Chamorro-Servent, Rémi Dubois, Rémi Dubois, Rémi Dubois, Yves Coudière, Yves Coudière, Yves Coudière   +9 more
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Particle swarm optimization method for parameter selecting in Tikhonov regularization method for solving inverse problems

e-Prime: Advances in Electrical Engineering, Electronics and Energy
In this article the Tikhonov method used as a regularization technique for solving the inverse problem liner operator equation of the first kind with noisy and noise-free data. We also provide the Tikhonov method's essential analysis for tackling inverse
H.K. Al-Mahdawi, A.S. Alhumaima
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An iterative method for Tikhonov regularization with a general linear regularization operator

Journal of Integral Equations and Applications, 2010
To solve a large scale ill-posed linear least squares problem \(Ax=b\) with \(A\in {\mathbb C}^{m\times n}\), a general regularization is proposed in which one has to minimize \(\|Ax-b\|^2+\mu\|Lx\|^2\) with regularization parameter \(\mu>0\) and regularization operator \(L\).
Michiel Hochstenbach, Lothar Reichel
exaly   +5 more sources

Tikhonov regularization based on generalized Krylov subspace methods [PDF]

Applied Numerical Mathematics, 2012
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Qiang Ye, Fiorella Sgallari, Lothar Reichel   +2 more
exaly   +4 more sources

An Improved Tikhonov-Regularized Variable Projection Algorithm for Separable Nonlinear Least Squares

Axioms, 2021
In this work, we investigate the ill-conditioned problem of a separable, nonlinear least squares model by using the variable projection method. Based on the truncated singular value decomposition method and the Tikhonov regularization method, we propose ...
Hua Guo, Guolin Liu, Luyao Wang
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