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.

Download

[img] PDF - Accepted Version
Download (208Kb)
[img] PDF (Answer to the reviewers (first round)) - Supplemental Material
Download (64Kb)
[img] PDF (Answer to the reviewers (second round)) - Supplemental Material
Download (42Kb)

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
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

Actions (login required)

View Item View Item