A Sylvester-Type Matrix Equation over the Hamilton Quaternions with an Application

A Sylvester-Type Matrix Equation over the Hamilton Quaternions with an Application

We derive the solvability conditions and a formula of a general solution to a Sylvester-type matrix equation over Hamilton quaternions. As an application, we investigate the necessary and sufficient conditions for the solvability of the quaternion matrix equation, which involves <inline-formula&g...

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Bibliographic Details
Main Authors: Long-Sheng Liu, Qing-Wen Wang, Mahmoud Saad Mehany 
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Mathematics
Subjects:
matrix equation
Hamilton quaternion
<i>η</i>-Hermitian matrix
Moore–Penrose inverse
rank
Online Access:https://www.mdpi.com/2227-7390/10/10/1758

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