Article citationsMore>>

Erdoğdu, M. and Özdemir, M. (2013) On Eigenvalues of Split Quaternion Matrices. Advances in Applied Clifford Algebras, 23, 615-623.
https://doi.org/10.1007/s00006-013-0391-7

has been cited by the following article:

• 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.