Simultaneous real diagonalization of rectangular quaternionic matrix pairs and its algorithm

Authors:
Wei Cheng;Lianggui Feng;Sen Yu
Affiliations:
Department of Mathematics, National University of Defense Technology, Changsha, Hunan 410073, PR China;Department of Mathematics, National University of Defense Technology, Changsha, Hunan 410073, PR China;Department of Mathematics, National University of Defense Technology, Changsha, Hunan 410073, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

The simultaneous real diagonalization(SRD) of a pair of rectangular quaternionic matrices is introduced, and some necessary and sufficient conditions for the existence of the SRD are derived. Based on one of the necessary and sufficient condition, an algorithm for gaining the SRD of a given matrix pair is presented.