Solution to Several Split Quaternion Matrix Equations

被引：2

作者：

Liu, Xin ^{[1
]}

Shi, Tong ^{[2
]}

Zhang, Yang ^{[3
]}

机构：

[1] Macau Univ Sci & Technol, Macau Inst Syst Engn, Fac Innovat Engn, Ave Wai Long, TaiPa 999078, Macau, Peoples R China

[2] Univ Sci & Technol China, Suzhou Inst Adv Res, Suzhou 215123, Peoples R China

[3] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

MATHEMATICS | 2024年 / 12卷 / 11期

关键词：

split quaternions; matrix equation; real representation; eta-conjugate; eta-Hermitian; EIGENVECTORS; EIGENVALUES;

D O I：

10.3390/math12111707

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Split quaternions have various applications in mathematics, computer graphics, robotics, physics, and so on. In this paper, two useful, real representations of a split quaternion matrix are proposed. Based on this, we derive their fundamental properties. Then, via the real representation method, we obtain the necessary and sufficient conditions for the existence of solutions to two split quaternion matrix equations. In addition, two experimental examples are provided to show their feasibility.

引用

页数：12

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