Maximum energy sequential matrix diagonalisation for parahermitian matrices

Corr, Jamie and Thompson, Keith and Weiss, Stephan and McWhirter, John G. and Proudler, Ian K.; Matthews, Michael B., ed. (2014) Maximum energy sequential matrix diagonalisation for parahermitian matrices. In: Conference Record of the Forty-Eighth Asilomar Conference on Signals, Systems & Computers. IEEE, USA, pp. 470-474. ISBN 9781479982950

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Official URL: https://doi.org/10.1109/ACSSC.2014.7094487

Abstract

Sequential matrix diagonalisation (SMD) refers to a family of algorithms to iteratively approximate a polynomial matrix eigenvalue decomposition. Key is to transfer as much energy as possible from off-diagonal elements to the diagonal per iteration, which has led to fast converging SMD versions involving judicious shifts within the polynomial matrix. Through an exhaustive search, this paper determines the optimum shift in terms of energy transfer. Though costly to implement, this scheme yields an important benchmark to which limited search strategies can be compared. In simulations, multiple-shift SMD algorithms can perform within 10% of the optimum energy transfer per iteration step.

ORCID iDs

Corr, Jamie

, Thompson, Keith

, Weiss, Stephan

, McWhirter, John G. and Proudler, Ian K.; Matthews, Michael B.

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Item metadata

Item type:	Book Section
ID code:	53321
Dates:	Date Event 2014 Published
Notes:	(c) 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Keywords:	channel coding, direction-of-arrival estimation, eigenvalues and eigenfunctions, iterative methods, polynomial matrices, precoding, Electrical engineering. Electronics Nuclear engineering, Electrical and Electronic Engineering
Subjects:	Technology > Electrical engineering. Electronics Nuclear engineering
Department:	Faculty of Engineering > Electronic and Electrical Engineering Technology and Innovation Centre > Sensors and Asset Management
Depositing user:	Pure Administrator
Date deposited:	09 Jun 2015 10:18
Last modified:	13 May 2021 02:09
Related URLs:	Journal or Publication Organisation
URI:	https://strathprints.strath.ac.uk/id/eprint/53321

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