Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

Multiple shift second order sequential best rotation algorithm for polynomial matrix EVD

Wang, Zeliang and McWhirter, John G. and Corr, Jamie and Weiss, Stephan (2015) Multiple shift second order sequential best rotation algorithm for polynomial matrix EVD. In: 23rd European Signal Processing Conference. IEEE, 844--848. ISBN 978-0-9928626-3-3

[img]
Preview
Text (wang-etal-EXPC-2015-Multiple-shift-second-order-sequential-best-rotation)
wang_etal_EXPC_2015_Multiple_shift_second_order_sequential_best_rotation.pdf - Accepted Author Manuscript

Download (157kB) | Preview

Abstract

In this paper, we present an improved version of the second order sequential best rotation algorithm (SBR2) for polynomial matrix eigenvalue decomposition of para-Hermitian matrices. The improved algorithm is entitled multiple shift SBR2 (MS-SBR2) which is developed based on the original SBR2 algorithm. It can achieve faster convergence than the original SBR2 algorithm by means of transferring more off-diagonal energy onto the diagonal at each iteration. Its convergence is proved and also demonstrated by means of a numerical example. Furthermore, simulation results are included to compare its convergence characteristics and computational complexity with the original SBR2, sequential matrix diagonalization (SMD) and multiple shift maximum element SMD algorithms.