Block-Toeplitz/Hankel structured total least squares
Markovsky, I., Van Huffel, S. and Pintelon, R. (2005) Block-Toeplitz/Hankel structured total least squares. SIAM Journal On Matrix Analysis and Applications, 26, (4), 1083-1099.
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Description/Abstract
A multivariate structured total least squares problem is considered, in which the extended data matrix is partitioned into blocks and each of the blocks is block-Toeplitz/Hankel structured, unstructured, or noise free. An equivalent optimization problem is derived and its properties are established. The special structure of the equivalent problem enables to improve the computational efficiency of the numerical solution via local optimization methods. By exploiting the structure, the computational complexity of the algorithms per iteration is linear in the sample size. Application of the method for system identification and for model reduction is illustrated by simulation examples.
| Item Type: | Article |
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| Related URLs: | |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 263298 |
| Date Deposited: | 06 Jan 2007 |
| Last Modified: | 05 Mar 2012 14:13 |
| Contributors: | Markovsky, I. (Author) Van Huffel, S. (Author) Pintelon, R. (Author) |
| Date: | 2005 |
| Status: | Published |
| Publisher: | SIAM |
| Further Information: | Google Scholar |
| ISI Citation Count: | 10 |
| URI: | http://eprints.soton.ac.uk/id/eprint/263298 |
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