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Comments on ‘A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory’ by Minghui Wang and Wenhao Ma

Sangwine, Stephen J (2015) 'Comments on ‘A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory’ by Minghui Wang and Wenhao Ma.' Computer Physics Communications, 188. pp. 128-130. ISSN 0010-4655

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Abstract

Claims were made in an article by Wang and Ma in 2013 that they had devised an algorithm for the quaternion LU decomposition that was significantly faster than the LU decomposition implemented in the Quaternion Toolbox for Matlab (QTFM). These claims have been tested and found to be unsupported by Matlab code supplied to the author by Wang and Ma. The author's tests are presented, and test code made available as supplementary material. It is found that not only is the QTFM code faster, but that Wang and Ma's algorithm has run-time that scales with the square of the size of the matrix, whereas the algorithm in QTFM has run time approximately linear in matrix size. These findings are consistent with an inspection of the code.

Item Type: Article
Uncontrolled Keywords: Quaternion matrix; LU decomposition; Structure-preserving algorithm
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA76 Computer software
Divisions: Faculty of Science and Health
Faculty of Science and Health > Computer Science and Electronic Engineering, School of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 17 Dec 2014 08:28
Last Modified: 15 Jan 2022 00:35
URI: http://repository.essex.ac.uk/id/eprint/12148

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