Solving reduced biquaternion matrices equation $ \sum\limits_{i = 1}^{k}A_iXB_i = C $ with special structure based on semi-tensor product of matrices

Solving reduced biquaternion matrices equation $ \sum\limits_{i = 1}^{k}A_iXB_i = C $ with special structure based on semi-tensor product of matrices

In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of reduced biquaternion matrix equation (1.1). Several...

Full description

Bibliographic Details
Main Authors: Wenxv Ding, Ying Li, Anli Wei, Zhihong Liu
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
semi-tensor product of matrices
reduced biquaternion
matrix equation
real vector representation
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022181?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2022181?viewType=HTML

Similar Items