A constraint system of coupled two-sided Sylvester-like quaternion tensor equations
A constraint system of coupled two-sided Sylvester-like quaternion tensor equations
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DOI：
10.1007/s40314-020-01370-w
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发表时间：
2020-11
影响因子：
2.6
通讯作者：
Qingwen Wang;Xiao Wang;Yushi Zhang
中科院分区：
文献类型：
--
作者：
Qingwen Wang;Xiao Wang;Yushi Zhang
本文首先研究了一类耦合双边Sylvester型四元数张量方程组可解的充要条件。当方程组可解时，我们还构造了方程组通解的表达式。作为该系统的应用，我们讨论了一类Sylvester型四元数张量方程组的可解性条件和-Hermitian解。
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-Hermitian solution to some system of Sylvester-like quaternion tensor equations.