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has been cited by the following article:

• TITLE: New Formula for Computing Quaternion Powers

  AUTHORS: W. Eltayeb Ahmed

  KEYWORDS: Quaternions, Matrix Algebra, Kayley-Dickson Construction

  JOURNAL NAME: Applied Mathematics, Vol.13 No.3, March 31, 2022

  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.