A New Method of Solving Special Solutions of Quaternion Generalized Lyapunov Matrix Equation

A New Method of Solving Special Solutions of Quaternion Generalized Lyapunov Matrix Equation

In this paper, we study the bisymmetric and skew bisymmetric solutions of quaternion generalized Lyapunov equation. With the help of semi-tensor product of matrices, some new conclusions on the expansion rules of row and column of matrix product on quaternion matrices are proposed and applied to the...

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Bibliographic Details
Main Authors: Zhihong Liu, Ying Li, Xueling Fan, Wenxv Ding
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Symmetry
Subjects:
quaternion
Lyapunov equation
semi-tensor product of matrices
<b>H</b>-representation
(skew) bisymmetric matrix
Online Access:https://www.mdpi.com/2073-8994/14/6/1120

Internet

https://www.mdpi.com/2073-8994/14/6/1120

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