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A constraint system of coupled two-sided Sylvester-like quaternion tensor equations

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Abstract

We first investigate some necessary and sufficient conditions for the solvability to a constraint system of coupled two-sided Sylvester-like quaternion tensor equations. We also construct an expression of the general solution to the system above when it is solvable. As an application of the system, we discuss some solvability conditions and the \(\eta \)-Hermitian solution to some system of Sylvester-like quaternion tensor equations.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (11971294).

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, People’s Republic of China

    Qing-Wen Wang, Xiao Wang & Yushi Zhang

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  1. Qing-Wen Wang
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  2. Xiao Wang
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  3. Yushi Zhang
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Correspondence to Qing-Wen Wang.

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Communicated by Jinyun Yuan.

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Wang, QW., Wang, X. & Zhang, Y. A constraint system of coupled two-sided Sylvester-like quaternion tensor equations. Comp. Appl. Math. 39, 317 (2020). https://doi.org/10.1007/s40314-020-01370-w

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  • DOI: https://doi.org/10.1007/s40314-020-01370-w

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