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December, 2020 A System of Coupled Two-sided Sylvester-type Tensor Equations over the Quaternion Algebra
Qing-Wen Wang, Xiao Wang
Taiwanese J. Math. 24(6): 1399-1416 (December, 2020). DOI: 10.11650/tjm/200504

Abstract

We establish some necessary and sufficient conditions for the solvability to a system of a pair of coupled two-sided Sylvester-type tensor equations over the quaternion algebra. We also give an expression of the general solution to the system when it is solvable. As applications, we derive some solvability conditions and expressions of the $\eta$-Hermitian solutions to some systems of coupled two-sided Sylvester-type quaternion tensor equations. Moreover, we provide an example to illustrate the main results of this paper.

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Qing-Wen Wang. Xiao Wang. "A System of Coupled Two-sided Sylvester-type Tensor Equations over the Quaternion Algebra." Taiwanese J. Math. 24 (6) 1399 - 1416, December, 2020. https://doi.org/10.11650/tjm/200504

Information

Received: 31 January 2020; Revised: 27 April 2020; Accepted: 21 May 2020; Published: December, 2020
First available in Project Euclid: 19 November 2020

MathSciNet: MR4176879
Digital Object Identifier: 10.11650/tjm/200504

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Rights: Copyright © 2020 The Mathematical Society of the Republic of China

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Vol.24 • No. 6 • December, 2020
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