Key Words:Quaternion matrix; LU decomposition; Structure-preserving algorithm
Abstract:In this paper, for the first time, the structure-preserving Gauss transformation is defined. Then by means of its real representation matrix, we present a novel structure-preserving algorithm for the LU decomposition of a quaternion matrix. Numerical experiments show that the structure-preserving algorithm is better than that in the newest quaternion toolbox for matlab (QTFM). (C) 2013 Elsevier B.V. All rights reserved.
Volume:184
Issue:9
Translation or Not:no