Andrii Dmytryshyn

activity

20102026

most citedMiniversal deformations of matrices of bilinear forms

33 citations · 123 across the 18 of their papers we have counts for

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2 papers · 1 filter

math.RT2010★ 29 cited

Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence

Andrii Dmytryshyn, Vyacheslav Futorny, Bo Kågström +2

We construct the Hasse diagrams $G_{2}$ and $G_{3}$ for the closure ordering on the sets of congruence classes of $2 \times 2$ and $3 \times 3$ complex matrices. In other words, we const…

math.RT2010★ 33 cited

Miniversal deformations of matrices of bilinear forms

Andrii R. Dmytryshyn, Vyacheslav Futorny, Vladimir V. Sergeichuk

V.I. Arnold [Russian Math. Surveys 26 (2) (1971) 29-43] constructed a miniversal deformation of matrices under similarity; that is, a simple normal form to which not only a given s…