Quaternionic Left Eigenvalue Problem: A Matrix Representation Approach
Wankai Liu (Shandong University of Finance and Economics)
Zhenfeng Cai (Hubei University of Technology)
*Kou Kit Ian (University of Macau)
This work presents a routine that finds the left eigenvalues and eigenvectors of a $n \times n$ quaternionic martix. The algorithm is from solving a system of equations of multivariate polynomials of degrees at most $4n-3$ based on real matrix representation of quaternions. That is, the left eigenvalues are the solutions of this system. Some properties of those eigenvalues are also investigated.