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

Vyacheslav Futorny , Lena Klimenko , Vladimir V. Sergeichuk

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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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