Numerical Algorithm for Solving General Linear Elliptic Quaternionic Matrix Equations

Abstract

In this study, we develop a general method to solve the general linear elliptic quaternionic matrix equations by means of real representation of elliptic quaternion matrices. A pseudocode for our approach that provides the solution of the linear elliptic quaternionic matrix equations is expressed. Moreover, we apply this method to the well-known Slyvester matrix equations and Kalman Yakubovich matrix equations over the elliptic quaternion algebra.

Keywords

• Elliptic Quaternion,
• Elliptic Quaternion Matrix
• General Linear Elliptic Quaternionic Matrix Equations

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