
TL;DR
This paper presents a method to solve quaternion equations of the form X^n=A for any integer n > 1 by leveraging the isomorphism between quaternions and (4,4)-matrices.
Contribution
It introduces a novel approach using matrix isomorphism to find solutions to quaternion nth root equations for any integer n > 1.
Findings
Successfully solves quaternion nth root equations for any integer n > 1
Utilizes quaternion-matrix isomorphism to facilitate solutions
Provides a systematic method applicable to complex quaternion elements
Abstract
The quaternion equation X^n=A is solved for any integer number n > 1. A is a given quaternion with komplex numbers as its elements. We use the isomorphism between quaternions and (4,4)-matrices to solve this equation.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Mathematical Theories and Applications · Mathematics and Applications
