Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499843 | Computer Methods in Applied Mechanics and Engineering | 2006 | 14 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
T. Patrik Nordberg, Ivar Gustafsson,