Some solutions to a third-order quaternion tensor equation

Autor: Xiaohan Li, Xin Liu, Jing Jiang, Jian Sun
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 11, Pp 27725-27741 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231419?viewType=HTML
Popis: The paper deals with the third-order quaternion tensor equation. Based on the Qt multiplication operation, we derive solvability conditions and also get the general solution, the least-squares solution, the minimum-norm solution and the minimum-norm least-squares solution of the tensor equation $ \mathcal{A} \ast_{\mathbb{Q}} \mathcal{X} = \mathcal{B} $. Finally, two numerical examples are presented.
Databáze: Directory of Open Access Journals