Results 1 to 10 of about 11,051,325 (215)
Extrapolation of Tikhonov regularization method [PDF]
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 [PDF]
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 +4 more
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An iterative method for Tikhonov regularization with a general linear regularization operator [PDF]
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
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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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Tikhonov regularization based on generalized Krylov subspace methods [PDF]
Applied Numerical Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiang Ye +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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A new Tikhonov regularization method [PDF]
Numerical Algorithms, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lothar Reichel
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Projected Newton method for noise constrained Tikhonov regularization [PDF]
Inverse Problems, 2020 Abstract Tikhonov regularization is a popular approach to obtain a meaningful solution for ill-conditioned linear least squares problems. A relatively simple way of choosing a good regularization parameter is given by Morozov’s discrepancy principle.
Jeffrey Cornelis +2 more
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e-Prime: Advances in Electrical Engineering, Electronics and EnergyIn 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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A hybrid splitting method for smoothing Tikhonov regularization problem [PDF]
Journal of Inequalities and Applications, 2016 In this paper, a hybrid splitting method is proposed for solving a smoothing Tikhonov regularization problem. At each iteration, the proposed method solves three subproblems.
Yu-Hua Zeng, Zheng Peng, Yu-Fei Yang
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