%0 Journal Article
%T Algebraic Techniques for Linear Equations  over Quaternions and Split Quaternions: A Unified Approach in Quaternionic and Split Quaternionic Mechanics
%A Gang Wang
%A Zhenwei Guo
%A Dong Zhang
%A Tongsong Jiang
%J Journal of Applied Mathematics and Physics
%P 1718-1731
%@ 2327-4379
%D 2019
%I Scientific Research Publishing
%R 10.4236/jamp.2019.78118
%X This paper aims to present, in a unified manner, algebraic techniques for linear equations which are valid on both the algebras of quaternions and split quaternions. This paper, introduces a concept of v-quaternion, studies the problem of v-quaternionic linear equations by means of a complex representation and a real representation of v-quaternion matrices, and gives two algebraic methods for solving v-quaternionic linear equations. This paper also gives a unification of algebraic techniques for quaternionic and split quaternionic linear equations in quaternionic and split quaternionic mechanics.
%K V-Quaternion
%K Complex Representation
%K Real Representation
%K Linear Equations
%K Quaternion
%K Split Quaternion
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=94385