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Inventi Impact: Engineering Mathematics

Articles

  • Inventi:eem/30316/19
    Algebraic Techniques for Linear Equations Over Quaternions and Split Quaternions: A Unified Approach in Quaternionic and Split Quaternionic Mechanics
    Research 2020 : January - March
    Gang Wang, Zhenwei Guo, Dong Zhang, Tongsong Jiang

    This paper aims to present, in a unified manner, algebraic techniques for linear\nequations which are valid on both the algebras of quaternions and split\nquaternions. This paper, introduces a concept of v-quaternion, studies the\nproblem of v-quaternionic linear equations by means of a complex representation\nand a real representation of v-quaternion matrices, and gives two algebraic\nmethods for solving v-quaternionic linear equations. This paper also\ngives a unification of algebraic techniques for quaternionic and split quaternionic\nlinear equations in quaternionic and split quaternionic mechanics.

    How to Cite this Article
    Attribution/ CC Compliant Citation: Wang, G., Guo, Z.W., Zhang, D. and Jiang, T.S. (2019) Algebraic Techniques for Linear\nEquations over Quaternions and Split Quaternions: A Unified Approach in Quaternionic and Split Quaternionic Mechanics.\nJournal of Applied Mathematics and Physics, 7, 1718-1731.\nhttps://doi.org/10.4236/jamp.2019.78118\nhttp://creativecommons.org/licenses/by/4.0/\n\nSome formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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