Results 161 to 170 of about 24,593 (203)

On simplified Tikhonov regularization

Journal of Optimization Theory and Applications, 1988
Approximations to the minimal norm, least-square solution of a linear equation with positive semidefinite operator are defined in such a way that fewer computations are needed than in Tikhonov's approach. We establish necessary and sufficient conditions for convergence, and we provide a choice for the regularization parameter \(\alpha\) that brings the
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Tikhonov regularization of metrically regular inclusions

Positivity, 2008
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Gaydu, Michaël, Geoffroy, Michel H.
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Whittaker–Stockwell Transform and Tikhonov Regularization Problem

Journal of Mathematical Sciences, 2022
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Soltani, F., Aledawish, S.
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Tikhonov Regularization of Large Linear Problems

BIT Numerical Mathematics, 2003
The authors present a new numerical method for computing regularized solutions of Tikhonov regularization applied to large scale discrete linear ill-posed problems. The method is based on Lanczos bidiagonalization and Gauss quadrature. For choosing the regularization parameter the discrepancy principle is used.
Calvetti, Daniela, Reichel, Lothar
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A Regularization Parameter for Nonsmooth Tikhonov Regularization

SIAM Journal on Scientific Computing, 2011
In this paper we develop a novel rule for choosing regularization parameters in nonsmooth Tikhonov functionals. It is solely based on the value function and applicable to a broad range of nonsmooth models, and it extends one known criterion. A posteriori error estimates of the approximations are derived.
Kazufumi Ito, Bangti Jin, Tomoya Takeuchi   +2 more
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Tikhonov Fixed—Point Regularization

2000
The main purpose of this note is to propose viscosity approximation methods which amount to selecting a particular fixed-point of a given nonexpansive self mapping in a general Hilbert space. The connection with the selection principles of Attouch, in the context of convex minimization and monotone inclusion problems, is made and an application to a ...
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Projected nonstationary iterated Tikhonov regularization

BIT Numerical Mathematics, 2015
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Huang, Guangxin, Reichel, Lothar, Yin, Feng   +2 more
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Tikhonov regularization with nonnegativity constraint

2004
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D. CALVETTI, B. LEWIS, L. REICHEL, SGALLARI, FIORELLA   +3 more
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Extrapolation Techniques of Tikhonov Regularization

2010
The numerical solution of inverse problems using Tikhonov’s regularization methods requires a huge amount of computations in iterative processes. It can employ extrapolation techniques to accelerate the convergence process or to improve accuracy of the regularized solution.
Tingyan Xiao, Yuan Zhao, Guozhong Su
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Tikhonov regularization for linear problems

2010
This chapter deals with Tikhonov regularization, which is perhaps the most widely used technique for regularizing discrete ill-posed problems. The reader is encouraged to look at the orginal papers by Tikhonov (1963a, 1963b) and the monograph by Tikhonov and Arsenin (1977) for the very fundamental results.
Adrian Doicu, Thomas Trautmann, Franz Schreier   +2 more
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