5 citations · 5 across the 2 of their papers we have counts for
3 papers
A constructive proof of Pokrzywa's theorem about perturbations of matrix pencils
Vyacheslav Futorny, Tetiana Klymchuk, Vladimir V. Sergeichuk +1
Our purpose is to give new proofs of several known results about perturbations of matrix pencils. Andrzej Pokrzywa (1986) described the closure of orbit of a Kronecker canonical pe…
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…
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…