Article citationsMore>>

Ramis, C. and Yayli, Y. (2013) Dual Split Quaternions and Chasles’ Theorem in 3-Dimensional Minkowski Space E₁³. Advances in Applied Clifford Algebras, 23, 951-964.
https://doi.org/10.1007/s00006-013-0405-5

has been cited by the following article:

• TITLE: Algebraic Techniques for Linear Equations over Quaternions and Split Quaternions: A Unified Approach in Quaternionic and Split Quaternionic Mechanics

  AUTHORS: Gang Wang, Zhenwei Guo, Dong Zhang, Tongsong Jiang

  KEYWORDS: V-Quaternion, Complex Representation, Real Representation, Linear Equations, Quaternion, Split Quaternion

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.8, August 16, 2019

  ABSTRACT: 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.