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math.RT2010
A complete unitary similarity invariant for unicellular matrices
Douglas Farenick, Tatiana G. Gerasimova, Nadya Shvai
We present necessary and sufficient conditions for an n\times n complex matrix B to be unitarily similar to a fixed unicellular (i.e., indecomposable by similarity) n\times n compl…
math.RT2010★ 5 cited
Criterion of unitary similarity for upper triangular matrices in general position
Douglas Farenick, Vyacheslav Futorny, Tatiana G. Gerasimova +2
Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A and B be upper triangular n-by-n matrices that (i…