Necessary and sufficient conditions for unitary similarity

Necessary and sufficient conditions for unitary similarity
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DOI:
10.1017/s1446788700026422
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发表时间:
1961-04
影响因子:
0.7
通讯作者:
N. Wiegmann
N. Wiegmann
中科院分区:
数学3区
文献类型:
--
作者:
N. Wiegmann

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如果A和B是两个复矩阵,如果U是复酉阵,使得UAUCT=B(其中UCT表示U的共轭转置),则称A和B酉相似。文献[5](从群表示论的观点出发)和文献[2](从么正相似下发展标准型的观点)讨论了两个矩阵一致相似的充要条件。
If A and B are two complex matrices and if U is a complex unitary matrix such that UAUCT = B (where UCT denotes the conjugate transpose of U), then A and B are said to be unitarily similar. Necessary and sufficient conditions that two matrices be unitarily similar have been dealt with in [5] (from the point of view of group representation theory) and in [2] (from the point of view of developing a canonical form under unitary similarity).