The Real Representation of Canonical Hyperbolic Quaternion Matrices and Its Applications

Minghui Wang, Lingling Yue, Situo Xu, Rufeng Chen
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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.
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典型双曲四元数矩阵的实表示及其应用
本文构造了典型双曲四元数矩阵的实表示矩阵,并给出了它的一些性质。然后,利用实数表示研究了典型双曲四元数矩阵的线性方程、逆和广义逆,得到了一些有趣的结果。
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