Picture of neon light reading 'Open'

Discover open research at Strathprints as part of International Open Access Week!

23-29 October 2017 is International Open Access Week. The Strathprints institutional repository is a digital archive of Open Access research outputs, all produced by University of Strathclyde researchers.

Explore recent world leading Open Access research content this Open Access Week from across Strathclyde's many research active faculties: Engineering, Science, Humanities, Arts & Social Sciences and Strathclyde Business School.

Explore all Strathclyde Open Access research outputs...

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.

PDF (Corr-etal-SSP2014-multiple-shift-maximum-element-sequential-matrix)
1569904845.pdf - Accepted Author Manuscript

Download (348kB) | Preview


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.