94 citations · 912 across the 61 of their papers we have counts for
3 papers · 2 filters
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…
Remarks on the classification of a pair of commuting semilinear operators
Debora Duarte de Oliveira, Roger A. Horn, Tatiana Klimchuk +1
Gelfand and Ponomarev [Functional Anal. Appl. 3 (1969) 325-326] proved that the problem of classifying pairs of commuting linear operators contains the problem of classifying k-tup…
Miniversal deformations of matrices under *congruence and reducing transformations
A. Dmytryshyn, V. Futorny, V. V. Sergeichuk
V.I. Arnold [Russian Math. Surveys 26(2) (1971) 29-43] constructed a miniversal deformation of a square complex matrix under similarity; that is, a simple normal form to which not…