The Moore-Penrose inverses of split quaternions

2019/04/20 by Wensheng Cao, Cao, Wensheng, Zhenhu Chang +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #11R52 #15A33 #Algebraic and Geometric Analysis #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematics and Applications #Matrix Theory and Algorithms #Number Theory (math.NT) #Rings and Algebras (math.RA) #math-ph #math.MP #math.NT #math.RA #msc:11R52 #msc:15A33

paper · pdf · doi:10.48550/arxiv.1904.10532

6 pages

arxiv created 2019/04/20 · openalex publication_date 2019/04/20 · arxiv updated 2019/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we find the roots of lightlike quaternions. By introducing the concept of the Moore-Penrose inverse in split quaternions, we solve the linear equations axb=d, xa=bx and xa=bx. Also we obtain necessary and sufficient conditions for two split quaternions to be similar or consimilar.

Cited by

• Iterative Methods for Computing the Moore--Penrose Inverse of Split-Quaternion Matrices with Applications

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