A finite iterative algorithm for solving a single-variable quaternion system of matrix equations

Ahmed M. E, Heba Reda Halawa, Mahmoud Saad Mehany, Department of Mathematics, Faculty of Education, Ain Shams University, Mathematics Education Program, Faculty of Education and Arts, Sohar University, Faculty of Business Informatics, Egypt University of Informatics, Knowledge City, New Administrative Capital, Cairo Governorate

Journal of Vibration and Control

Published online on March 19, 2026

Abstract

Journal of Vibration and Control, Ahead of Print.
This paper introduces a finite iterative algorithm for solving a single-variable quaternion system of matrix equations. It is theoretically proven that if the system is consistent, the solution can be achieved from any initial quaternion matrix within a ...