A new method based on semi-tensor product of matrices for solving reduced biquaternion matrix equation $ \sum\limits_{p = 1}^l A_pXB_p = C $ and its application in color image restoration

A new method based on semi-tensor product of matrices for solving reduced biquaternion matrix equation $ \sum\limits_{p = 1}^l A_pXB_p = C $ and its application in color image restoration

In this paper, semi-tensor product of real matrices is extended to reduced biquaternion matrices, and then some new conclusions of the reduced biquaternion matrices under the vector operator are proposed using semi-tensor product of reduced biquaternion matrices, so that the reduced biquaternion mat...

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Bibliographic Details
Main Authors: Jianhua Sun, Ying Li, Mingcui Zhang, Zhihong Liu, Anli Wei
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:Mathematical Modelling and Control
Subjects:
semi-tensor product of matrices
reduced biquaternion matrix equation
$ \mathcal{gh} $-representation
$ \mathcal{l}_\mathcal{c} $-representation
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2023019?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mmc.2023019?viewType=HTML

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