On the unitary diagonalisation of a special class of quaternion matrices

Cheong Took, C, Mandic, DP and Zhang, F (2011) On the unitary diagonalisation of a special class of quaternion matrices Applied Mathematics Letters, 24 (11). pp. 1806-1809.

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Abstract

We propose a unitary diagonalisation of a special class of quaternion matrices, the so-called η-Hermitian matrices A=A , η∈,{l,j,κ} arising in widely linear modelling. In 1915, Autonne exploited the symmetric structure of a matrix A=A to propose its corresponding factorisation (also known as the Takagi factorisation) in the complex domain C. Similarly, we address the factorisation of an 'augmented' class of quaternion matrices, by taking advantage of their structures unique to the quaternion domain H. Applications of such unitary diagonalisation include independent component analysis and convergence analysis in statistical signal processing. © 2011 Elsevier Ltd. All rights reserved.

Item Type:	Article
Divisions :	Surrey research (other units)
Authors :	Cheong Took, C, Mandic, DP and Zhang, F
Date :	November 2011
DOI :	10.1016/j.aml.2011.04.038
Depositing User :	Symplectic Elements
Date Deposited :	28 Mar 2017 14:12
Last Modified :	24 Jan 2020 11:54
URI:	http://epubs.surrey.ac.uk/id/eprint/739344

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