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Dynamic regularization of input estimation problems by explicit block inversion

delete2006-09-01
delete23
PRE
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N
Nordberg, T. Patrik *
G
Gustafsson, Ivar
DOI:10.1016/j.cma.2005.08.017delete
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摘要

摘要

En 中文
Input estimation problems in structural dynamics often lead to solving damped least squares problems. Explicit block inversion algorithms are developed to invert the associated upper block triangular Toeplitz matrix. Moreover, the derived inversion algorithms enable the introduction of a new type of sequential regularization technique. For optimal regularization parameters, it is demonstrated by a numerical example that the solution using the proposed regularization technique has an upper bound equal to zeroth-order Tikhonov regularization. (c) 2006 Elsevier B.V. All rights reserved.
Keyword:
input estimation
explicit block inversion
Tikhonov regularization
sequential regularization
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期刊

Computer Methods in Applied Mechanics and Engineering 封面图
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
论文数:
1.3W
被引数:
5.6W

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