On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Abstract

In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion matrices, respectively. Moreover, coneigenvalue and coneigenvector are defined for split quaternion matrices. Some consequences are also presented.

Keywords

• split quaternion
• split quaternion matrix
• consimilarity
• coneigenvalue
• primary 15b33
• secondary 15a24.