Some analogs of the generalized principal axis transformation

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Some Analogs of the Generalized Principal Axis Transformation

It is known that two normal matrices can be diagonalized by the same unitary transformation if and only if they commute ; this theorem is ordinarily stated for hermitian matrices. Some generalizations of this theorem are known. According to a theorem due to Eckert and Young, if A and B are two rXs matrices, there are two unitary matrices U and V such that UAV=DX and UBV=D2, D\ and D2 diagonal m...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1948

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1948-09095-4