Simultaneous unitary equivalences
Representation Theory
2014-03-12 v1
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}.
Cite
@article{arxiv.1112.4446,
title = {Simultaneous unitary equivalences},
author = {Tatiana G. Gerasimova and Roger A. Horn and Vladimir V. Sergeichuk},
journal= {arXiv preprint arXiv:1112.4446},
year = {2014}
}
Comments
10 pages