Change of the *congruence canonical form of 2-by-2 matrices under perturbations

Lena Klimenko; Vladimir V. Sergeichuk; Vyacheslav Futorny

arxiv: 1304.5762 · v1 · pith:WY5V4U62new · submitted 2013-04-21 · 🧮 math.RT

Change of the *congruence canonical form of 2-by-2 matrices under perturbations

Vyacheslav Futorny , Lena Klimenko , Vladimir V. Sergeichuk This is my paper

classification 🧮 math.RT

keywords by-2congruencecanonicalchangeformmatricesperturbationsclasses

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We study how small perturbations of a 2-by-2 complex matrix can change its canonical form for *congruence. We construct the Hasse diagram for the closure ordering on the set of *congruence classes of 2-by-2 matrices.

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Change of the *congruence canonical form of 2-by-2 matrices under perturbations

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