Results 101 to 110 of about 21,724 (205)
On a Stochastic Regularization Technique for Ill-Conditioned Linear Systems
Open Engineering, 2019 Knowledge about the input–output relations of a system can be very important in many practical situations in engineering. Linear systems theory comes from applied mathematics as an efficient and simple modeling technique for input–output systems ...
Moura Henrique Gomes +3 more
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GKB-GCV Method for Solving Generic Tikhonov Regularization Problems
GSTF Journal of Mathematics, Statistics and Operations Research, 2016 AbstractThe W-GCV method is one of the iterative methods used to solve a large scale Vtandard form of the Tikhonov regularization, but it is also necessary for solving the general form of the Tikhonov regularization. This paper proposes a new solver, called GKB-GCV, which is an extension of the W-GCV by using the GSVD.
Dai Togashi, Takashi Nodera
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Jixie qiangduTo improve the accuracy and efficiency of load identification and structural response reconstruction, an improved Tikhonov regularization method that simultaneously considers transfer matrix error and measurement error was proposed.
GAO Kele, YIN Hong, PENG Zhenrui
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MathematicsIll-posed problems arise in many areas of science and engineering. Tikhonov is a usual regularization which replaces the original problem by a minimization problem with a fidelity term and a regularization term.
Shi-Wei Wang, Guang-Xin Huang, Feng Yin
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Fractal and FractionalThe aim of this paper is to identify a time-independent source term in the Rayleigh–Stokes equation with a fractional derivative where additional data are considered at a fixed time point.
Songshu Liu, Lixin Feng, Chao Liu
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Tikhonov regularized exterior penalty methods for hierarchical variational inequalities
We consider nested variational inequalities con- sisting in a (upper-level) variational inequality whose feasible set is given by the solution set of another (lower-level) variational inequality. This class of hierarchical equilibrium contains a wealth of important applications, including purely hierarchical convex bilevel optimization problems and ...
Marschner, Meggie, Staudigl, Mathias
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Fractal and FractionalThe Cauchy problem for the Laplace equation in an annular bounded region consists of finding a harmonic function from the Dirichlet and Neumann data known on the exterior boundary.
José Julio Conde Mones +5 more
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Uncertainty in structure dynamics resulting from matrix ill-conditioning
Archives of Acoustics, 2014 In the paper there are discussed certain issues concerning ill-posed problems that frequently appear in inverse problems, modal analysis, acoustics and other methods making use of matrix algebra.
J. IWANIEC
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A nested primal–dual iterated Tikhonov method for regularized convex optimization
Computational Optimization and ApplicationsAbstract Proximal–gradient methods are widely employed tools in imaging that can be accelerated by adopting variable metrics and/or extrapolation steps. One crucial issue is the inexact computation of the proximal operator, often implemented through a nested primal–dual solver, which represents the main computational bottleneck whenever an ...
Stefano Aleotti +4 more
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About A. N. Tikhonov’s regularized least squares method [PDF]
Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2017 Vladimir Ivanovich Erokhin +1 more
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