14 citations · 28 across the 4 of their papers we have counts for
5 papers
Reduction of a pair of skew-symmetric matrices to its canonical form under congruence
V. A. Bovdi, T. G. Gerasimova, M. A. Salim +1
Let be a pair of skew-symmetric matrices over a field of characteristic not 2. Its regularization decomposition is a direct sum \[ (\underline{\underline A},\underline{\und…
Simultaneous unitary equivalences
Tatiana G. Gerasimova, Roger A. Horn, Vladimir V. Sergeichuk
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 m…
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…
Pairs of mutually annihilating operators
Vitalij M. Bondarenko, Tatiana G. Gerasimova, Vladimir V. Sergeichuk
Pairs (A,B) of mutually annihilating operators AB=BA=0 on a finite dimensional vector space over an algebraically closed field were classified by Gelfand and Ponomarev [Russian Mat…