Numerical Algorithm for Solving General Linear Elliptic Quaternionic Matrix Equations

Authors : Kemal EREN, Hidayet Hüda KÖSAL

Pages : 180-186

Doi:10.33401/fujma.888705

View : 19 | Download : 13

Publication Date : 2021-09-30

Article Type : Research Paper

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