An algorithm for computing the QR decomposition of a polynomial matrix

Foster, Joanne; McWhirter, John; Chambers, Jonathon

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An algorithm for computing the QR decomposition of a polynomial matrix

conference contribution

posted on 2009-12-09, 16:49 authored by Joanne Foster, John McWhirter, Jonathon Chambers

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.

History

School

Mechanical, Electrical and Manufacturing Engineering

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

Publisher

Version

VoR (Version of Record)

Publication date

2007

Notes

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