Solution to Several Split Quaternion Matrix Equations-Reference-Cited by-同舟云学术

Solution to Several Split Quaternion Matrix Equations

Published:2024-05-30 Issue:11 Volume:12 Page:1707
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Liu Xin¹^ORCID,Shi Tong²,Zhang Yang³

Affiliation:

1. Macau Institute of Systems Engineering, Faculty of Innovation Engineering, Macau University of Science and Technology, Avenida Wai Long, TaiPa, Macau 999078, China

2. Suzhou Institute for Advanced Research, University of Science and Technology of China, Suzhou 215123, China

3. Department of Mathematics, University of Manitoba, Winnipeg, MB R3T 2N2, Canada

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.

Funder

Macao Science and Technology Development Fund

National Natural Science Foundation of China

Natural Sciences and Engineering Research Council of Canada

The Joint Research and Development Fund of Wuyi University, Hong Kong and Macao

The MUST Faculty Research Grants

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/11/1707/pdf

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