论文标题
两面耦合的Sylvester样Quaternion张量方程的系统的新概括
A new generalization of a system of two-sided coupled Sylvester-like quaternion tensor equations
论文作者
论文摘要
这项研究为耦合系统建立了一致性条件和一般解决方案，该系统由整个爱因斯坦张量产物的五个双面类似Sylvester的张量方程组成。因此，建立了某些特定案例。在直接应用中，我们调查了存在$η$ -Hermitian解决方案的某些必要条件，以五个耦合的两侧类似Sylvester的Quaternion Tensor方程。最后，我们提出了一种算法和一个数值示例，以验证主要结果。
This study establishes consistency conditions and a general solution for a coupled system that consists of five two-sided Sylvester-like tensor equations in ten quaternion variables throughout the Einstein tensor product. Certain specific cases are thus established. In a direct application, we investigate certain necessary and sufficient conditions for the existence of an $η$-Hermitian solution to five coupled two-sided Sylvester-like quaternion tensor equations. Finally, we present an algorithm and a numerical example to validate the main result.
