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Hamilton, W.R. (1843) On a New Species of Imaginary Quantities Connected with a Theory of Quaternions. Proceedings of the Royal Irish Academy, 2, 424-434.

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.