A simultaneous decomposition of seven matrices over real quaternion algebra and its applications

Zhuo-Heng He, Qing-Wen Wang

Let $\mathbb{H}$ be the real quaternion algebra and ${\mathbb{H}}^{n\times m}$ denote the set of all $n\times m$ matrices over $\mathbb{H}$. In this paper, we construct a simultaneou…