高斯数环Z[i]上Hermite-酉矩阵的酉相似

ON U-SIMILAR OF HERMITE U-MATRIX IN GAUSS RINGS Z[i]

把《整数环Z上正交对称阵的合同相似》一文中的条件Z推广到Z[i],正交对称矩阵改为Hermite-酉矩阵后,证明结果仍成立。进而可以说《整数环Z上正交对称阵的合同相似》的结果是下面结果的一个推论。

It is proved that the result in the paper,the congruence similarity for orthogonal symmetric matrices on the integral ring Z,can be hold when we generalize the condition Z to Z[i] and replace orthogonal matrices by Hermite u-matrices. Therefore,that result of the paper above is a corollary of the result.