论文标题
代数条件和一般解决方案，用于应用应用程序的四个张量方程系统
Algebraic conditions and general solution to a system of quaternion tensor equations with applications
论文作者
论文摘要
本文研究了Sylvester型四基量张量方程的约束系统的必要和足够代数条件。获得了有关某些块给定张量的摩尔 - 芬罗对逆的一般解决方案的明确公式。作为特定情况的应用，我们建立了涉及$η$ -Hermitian未知数的Sylvester型Quaternion张量方程的系统系统的一般解决方案。提出了具有数值示例的算法来计算主系统的一般解决方案。
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 $η$-Hermitian unknowns. An algorithm with a numerical example is proposed to compute the general solution of the main system.
