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Title: An algorithm for computing the QR decomposition of a polynomial matrix
Authors: Foster, Joanne
McWhirter, John
Chambers, Jonathon
Keywords: Polynomial matrix
Paraunitary matrix
Polynomial matrix QR decomposition
Issue Date: 2007
Publisher: © IEEE
Citation: FOSTER, J., MCWHIRTER, J. and CHAMBERS, J., 2007. An algorithm for computing the QR decomposition of a polynomial matrix. IN: 15th International conference on digital signal processing, Cardiff, 1-4 July, pp. 71-74
Abstract: This paper introduces an algorithm for computing a QR decomposition of a polynomial matrix. The algorithm proceeds to perform the decomposition by following the same strategy in eliminating entries of the matrix as is used in the Givens method for a QR decomposition of a scalar matrix. However scalar Givens rotation matrices can no longer be applied. Instead, a polynomial Givens rotation is introduced, enabling the QR decomposition of a polynomial matrix. Convergence of the algorithm is discussed and through simulations the capability of the algorithm is assessed.
Description: This is a conference paper [© IEEE]. It is also available at: http://ieeexplore.ieee.org/ Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Version: Published
DOI: 10.1109/ICDSP.2007.4288521
URI: https://dspace.lboro.ac.uk/2134/5639
ISBN: 1424408822
Appears in Collections:Conference Papers and Contributions (Electronic, Electrical and Systems Engineering)

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