New Formula for Computing Quaternion Powers

Ahmed, W. Eltayeb (2022) New Formula for Computing Quaternion Powers. Applied Mathematics, 13 (03). pp. 282-294. ISSN 2152-7385

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Abstract

In this work, we create a new mathematical formula that computes the power of a quaternion number raised to a positive integer by reducing the real matrix of order 4 × 4 that we take to represent this quaternion number to a matrix that makes the process of multiplying this quaternion number by itself simpler. We also present a new method for computing the power of a real matrix of order 2 × 2 as an application of this formula.

Item Type: Article
Subjects: Journal Eprints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 19 Jan 2023 10:14
Last Modified: 02 Mar 2024 04:31
URI: http://repository.journal4submission.com/id/eprint/488

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