Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics

Tongsong Jiang, Dong Zhang, Zhenwei Guo, Gang Wang, V. I. Vasil’ev and Zafar Ullah

Journal of Mathematics, 2023, vol. 2023, 1-13

Abstract: The algebra of split quaternions is a recently increasing topic in the study of theory and numerical computation in split quaternionic mechanics. This paper, by means of a real representation of a split quaternion matrix, studies the problem of canonical forms of a split quaternion matrix and derives algebraic techniques for finding the canonical forms of a split quaternion matrix. This paper also gives two applications for the right eigenvalue and diagonalization in split quaternionic mechanics.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4599585

DOI: 10.1155/2023/4599585

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