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- Title
Solution to Several Split Quaternion Matrix Equations.
- Authors
Liu, Xin; Shi, Tong; Zhang, Yang
- Abstract
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.
- Subjects
QUATERNIONS; EQUATIONS; COMPUTER graphics
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 11, p1707
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12111707