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arXiv · 2205.13887

Algebraic conditions and general solution to a system of quaternion tensor equations with applications

Mahmoud Saad Mehany·Qing-Wen Wang
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Abstract

This paper investigates the necessary and sufficient algebraic conditions to a constrained system of Sylvester-type quaternion tensor equations. An explicit formula of the general solution regarding the Moore-Penrose inverses of some block given tensors is obtained. As an application of a particular case, we establish the solvability conditions and the general solution to a system of Sylvester-type quaternion tensor equations involving $\eta$-Hermitian unknowns. An algorithm with a numerical example is proposed to compute the general solution of the main system.

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Mahmoud Saad Mehany, Qing-Wen Wang. 2022-05-27. Algebraic conditions and general solution to a system of quaternion tensor equations with applications. https://arxiv.org/abs/2205.13887

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