四元数矩阵的酉相合与酉相似(英文)

Unitary Congruence and Unitary Similarity for Quaternion Matrix

本文讨论了四元数矩阵的酉相合,四元数矩阵的酉相合是复矩阵的复酉相合的自然推广,并且它有许多好的性质.由于四元数矩阵的酉相合与酉相似有着密切联系,本文还讨论了四元数矩阵的酉相似的一些性质.

This paper discusses the unitary congruence of quaternion matrices, the unitary congruence of quaternion matrices is natural extension of the complex unitary congruence of complex matrices and has many good properties. Since unitary congruence of quaternion matrices is in connection with unitary similarity of quaternion matrices, we also discuss some properties of the unitary similarity of quaternion matrices.