Results 11 to 20 of about 7,882 (230)
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 ...
Hämarik, Uno, Raus, Toomas, Palm, Reimo
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Augmented Tikhonov Regularization Method for Dynamic Load Identification [PDF]
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.
Jinhui Jiang +2 more
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Optimal Tikhonov regularization for DEER spectroscopy [PDF]
Journal of Magnetic Resonance, 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.
Thomas H Edwards, Stefan Stoll
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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
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Iterated fractional Tikhonov regularization [PDF]
Inverse Problems, 2015 Fractional Tikhonov regularization methods have been recently proposed to reduce the oversmoothing property of the Tikhonov regularization in standard form, in order to preserve the details of the approximated solution.
Buccini A. +12 more
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Iterated Tikhonov regularization with a general penalty term
Numerical Linear Algebra With Applications, 2017 Tikhonov regularization is one of the most popular approaches to solving linear discrete ill-posed problems. The choice of the regularization matrix may significantly affect the quality of the computed solution.
Alessandro Buccini +2 more
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Applicable Analysis, 2014 The stable solution of ill-posed non-linear operator equations in Banach space requires regularization. One important approach is based on Tikhonov regularization, in which case a one-parameter family of regularized solutions is obtained.
Stephan W Anzengruber +2 more
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Arnoldi–Tikhonov regularization methods
Journal of Computational and Applied Mathematics, 2008 Tikhonov regularization for large-scale linear ill-posed problems is commonly implemented by determining a partial Lanczos bidiagonalization of the matrix of the given system of equations.
Lewis, Bryan +3 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 ...
Daniel Gerth +2 more
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Tikhonov regularization based on generalized Krylov subspace methods
Applied Numerical Mathematics, 2012 We consider Tikhonov regularization of large linear discrete ill-posed problems with a regularization operator of general form and present an iterative scheme based on a generalized Krylov subspace method.
Lothar Reichel +2 more
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