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arXiv · 1112.4446

Simultaneous unitary equivalences

Tatiana G. Gerasimova·Roger A. Horn·Vladimir V. Sergeichuk
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Abstract

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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BibTeXRIS

Tatiana G. Gerasimova, Roger A. Horn, Vladimir V. Sergeichuk. 2011-12-19. Simultaneous unitary equivalences. https://doi.org/10.1016/j.laa.2011.09.031

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