Results 11 to 20 of about 101,252 (223)
Iterated fractional Tikhonov regularization [PDF]
Inverse Problems, 2015 AbstractWe consider linear operator equations of the form where $K:{\cal X}\to{\cal Y}$ is a compact linear operator between Hilbert spaces ${\cal X} \hbox{ and } {\cal Y}.$ We assume y to be attainable, i.e., that problem (1) has a solution x† = K†y of minimal norm.
Bianchi, Davide +3 more
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Arnoldi–Tikhonov regularization methods [PDF]
Journal of Computational and Applied Mathematics, 2009 The problem is to solve a large, ill-conditioned linear system \(Ax=b\) of size \(n\), where \(b=\hat{b}+e\) with \(\hat{b}\) the ``true'' vector and \(e\) some error. Tikhonov regularization minimizes \(\|Ax-b\|^2+\mu^{-1}\|x\|\) with \(\mu\) a regularization parameter.
Lewis, Bryan, Reichel, Lothar
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Discrepancy Sets for Combined Least Squares Projection and Tikhonov Regularization [PDF]
Mathematical Modelling and Analysis, 2017 To solve a linear ill-posed problem, a combination of the finite dimensional least squares projection method and the Tikhonov regularization is considered. The dimension of the projection is treated as the second parameter of regularization.
Teresa Reginska
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The Tikhonov Regularization Method for Set-Valued Variational Inequalities
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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Nonstationary lterated Tikhonov Regularization [PDF]
, 1996 A convergence rate is established for nonstationary iterated Tikhonov regularization, applied to ill-posed problems involving closed, densely defined linear operators, under general conditions on the iteration parameters. lt is also shown that an order-optimal accuracy is attained when a certain a posteriori stopping rule is used to determine the ...
Hanke, Martin, Groetsch, C.W.
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Mathematical and numerical modeling of inverse heat conduction problem [PDF]
INCAS Bulletin, 2014 The present paper refers to the assessment of three numerical methods for solving the inverse heat conduction problem: the Alifanov’s iterative regularization method, the Tikhonov local regularization method and the Tikhonov equation regularization ...
Sterian DANAILA, Alina-Ioana CHIRA
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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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A Combined Use of TSVD and Tikhonov Regularization for Mass Flux Solution in Tibetan Plateau
Remote Sensing, 2020 Limited by the Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On (GRACE-FO) measurement principle and sensors, the spatial resolution of mass flux solutions is about 2–3° in mid-latitudes at monthly intervals.
Tianyi Chen +3 more
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Multi-parameter Tikhonov regularization [PDF]
Methods and Applications of Analysis, 2011 We study multi-parameter Tikhonov regularization, i.e., with multiple penalties. Such models are useful when the sought-for solution exhibits several distinct features simultaneously. Two choice rules, i.e., discrepancy principle and balancing principle, are studied for choosing an appropriate (vector-valued) regularization parameter, and some ...
Kazufumi Ito +2 more
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Fractional Regularized Distorted Born Iterative Method for Permittivity Reconstruction [PDF]
Radioengineering, 2022 In this paper, we propose a fractional regularized distorted Born iterative method (DBIM) to solve non-linear ill-posed problems of microwave imaging.
A. D. Magdum +2 more
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