Results 41 to 50 of about 24,593 (203)
A modified Tikhonov regularization for unknown source in space fractional diffusion equation
Open Mathematics, 2022 In this article, we consider the identification of an unknown steady source in a class of fractional diffusion equations. A modified Tikhonov regularization method based on Hermite expansion is presented to deal with the ill-posedness of the problem.
Yu Kai, Gong Benxue, Zhao Zhenyu
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Some matrix nearness problems suggested by Tikhonov regularization
, 2016 The numerical solution of linear discrete ill-posed problems typically requires regularization, i.e., replacement of the available ill-conditioned problem by a nearby better conditioned one.
Noschese, Silvia, Reichel, Lothar
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Prediction of propagated wave profiles based on point measurement
International Journal of Naval Architecture and Ocean Engineering, 2014 This study presents the prediction of propagated wave profiles using the wave information at a fixed point. The fixed points can be fixed in either space or time.
Lee Sang-Beom +3 more
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Tikhonov Regularization and Total Least Squares [PDF]
SIAM Journal on Matrix Analysis and Applications, 1999 The regularized total least squares (TLS) method of the TLS problem is introduced and its regularizing properties are studied. It is also proved that, in certain cases, the new method is superior to standard regularization methods.
Golub, Gene H. +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 Fast Iterative Shrinkage/Thresholding Algorithm via Laplace Norm for Sound Source Identification
IEEE Access, 2020 As a powerful tool, near-field acoustical holography (NAH) recognizes the sound source effectively. The traditional equivalent source method (ESM) calculated by the Tikhonov regularization method could be available in the low-frequency band.
Linsen Huang +4 more
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Convex regularization of discrete-valued inverse problems
, 2017 This work is concerned with linear inverse problems where a distributed parameter is known a priori to only take on values from a given discrete set.
Clason, Christian, Do, Thi Bich Tram
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Tikhonov type regularization for unbounded operators
Ratio Mathematica, 2021 In this paper, we introduce a Tikhonov type regularization method for an ill-posed operator equation T x = y, where T is a closed densely defined unbounded operator on a Hilbert space H.
E Shine Lal, P Ramya
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Tikhonov Regularization with a Solution Constraint [PDF]
SIAM Journal on Scientific Computing, 2004 The authors consider a constrained minimization regularization formulation of a given, ill-conditioned linear system, which is equivalent with the classical Tikhonov one. This new problem is solved by a modified version of an algorithm previously proposed by \textit{G. H. Golub} and \textit{U. von Matt} [Numer. Math. 59, No.~6, 561--580 (1991; Zbl 0745.
Calvetti, Daniela, Reichel, Lothar
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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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