Change of the congruence canonical form of 2x2 and 3x3 matrices under perturbations

Mathematics – Representation Theory

Scientific paper

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18 pages. This paper is Preprint RT-MAT 2007-02, Universidade de Sao Paulo, 2007, 18 p. The research was done while the second

Scientific paper

We study how small perturbations of any given 2x2 (resp., 3x3) complex matrix
may change its canonical form for congruence. We construct the Hasse diagram
for the closure ordering on the set of congruence classes of 2x2 (resp., 3x3)
matrices.

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