矩阵的Wielandt-Hoffman定理在四元数体上的推广

On Generalization of the Wielandt-Hoffman Theoremin the Quaternion Field

文章将Hermidt矩阵中的Wielandt-Hoffman定理推广到四元数体上,得到了自共轭四元数矩阵迹的相关不等式。

In this paper, the Wielandt -Hoffman inequality of the matrices is generalized from complex field to quaternion field, and some estimations of the inequality on trace of self- conjugate quaternion matrices are obtained.