The Real Representation of Canonical Hyperbolic Quaternion Matrices and Its Applications

Minghui Wang*, Lingling Yue, Situo Xu and Rufeng Chen
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Minghui Wang*: Department of Mathematics, Qingdao University of Science and Technology, P.R. China
Lingling Yue: Department of Mathematics, Qingdao University of Science and Technology, P.R. China
Situo Xu: Department of Mathematics, Qingdao University of Science and Technology, P.R. China
Rufeng Chen: Department of Mathematics, Qingdao University of Science and Technology, P.R. China

Academic Journal of Applied Mathematical Sciences, 2019, vol. 5, issue 6, 62-68

Abstract: In this paper, we construct the real representation matrix of canonical hyperbolic quaternion matrices and give some properties in detail. Then, by means of the real representation, we study linear equations, the inverse and the generalized inverse of the canonical hyperbolic quaternion matrix and get some interesting results.

Keywords: T1-MP inverse; Canonical hyperbolic quaternion matrix; Real representation. (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:arp:ajoams:2019:p:62-68

DOI: 10.32861/ajams.56.62.68

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