%0 Journal Article
%T A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics
%A Zhenwei Guo
%A Gang Wang
%A Dong Zhang
%A Tongsong Jiang
%J Journal of Applied Mathematics and Physics
%P 1929-1940
%@ 2327-4379
%D 2019
%I Scientific Research Publishing
%R 10.4236/jamp.2019.79133
%X 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.
%K v-Quaternion
%K Complex Representation
%K Quaternion
%K Split Quaternion
%K Eigenvalues
%K Eigenvectors
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=94710