Multiple shift maximum element sequential matrix diagonalisation for parahermitian matrices

Corr, Jamie and Thompson, Keith and Weiss, Stephan and McWhirter, John G. and Redif, Soydan and Proudler, Ian K. (2014) Multiple shift maximum element sequential matrix diagonalisation for parahermitian matrices. In: 2014 IEEE Workshop on Statistical Signal Processing (SSP), 2014-06-29 - 2014-07-02, Australia. (https://doi.org/10.1109/SSP.2014.6884638)

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Abstract

A polynomial eigenvalue decomposition of paraher-mitian matrices can be calculated approximately using iterative approaches such as the sequential matrix diagonalisation (SMD) algorithm. In this paper, we present an improved SMD algorithm which, compared to existing SMD approaches, eliminates more off-diagonal energy per step. This leads to faster convergence while incurring only a marginal increase in complexity. We motivate the approach, prove its convergence, and demonstrate some results that underline the algorithm's performance.

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  Item type:	Conference or Workshop Item(Paper)
  ID code:	49436
  Dates:	Date Event July 2014 Published
  Notes:	© 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, 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 component of this work in other works.
  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:	01 Oct 2014 08:43
  Last modified:	09 Apr 2024 06:01
  Related URLs:	Event
  URI:	https://strathprints.strath.ac.uk/id/eprint/49436