TITLE:
A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics
AUTHORS:
Zhenwei Guo, Gang Wang, Dong Zhang, Tongsong Jiang
KEYWORDS:
v-Quaternion, Complex Representation, Quaternion, Split Quaternion, Eigenvalues, Eigenvectors
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.9,
August
29,
2019
ABSTRACT: This paper aims to present, in a unified manner, the algebraic techniques of eigen-problem which are valid on both the quaternions and split quaternions. This paper studies eigenvalues and eigenvectors of the v-quaternion matrices by means of the complex representation of the v-quaternion matrices, and derives an algebraic technique to find the eigenvalues and eigenvectors of v-quaternion matrices. This paper also gives a unification of algebraic techniques for eigenvalues and eigenvectors in quaternionic and split quaternionic mechanics.