Simultaneous unitary equivalences

Details Simultaneous unitary equivalences Simultaneous unitary equivalences

2011-12-19

arxiv.org/abs/1112.4446v1

Mathematics

Representation Theory

10 pages

Scientific paper

10.1016/j.laa.2011.09.031

Let A, B, C, D be given finite sets of pairs of n-by-n complex matrices. We describe an algorithm to determine, with finitely many computations, whether there is a single unitary matrix U such that each pair of matrices in A is unitarily similar via U, each pair of matrices in B is unitarily congruent via U, each pair of matrices in C is unitarily similar via \bar{U}, and each pair of matrices in D is unitarily congruent via \bar{U}.

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