Abstract (EN):
A matrix A is an element of M-n (C) is called unitoid if it is congruent to a diagonal matrix. Necessary and sufficient conditions are given on the canonical angles of a unitoid matrix so that sufficiently small perturbations remain unitoid. This, in particular, resolves the question of when simultaneous diagonalizability of two Hermitian matrices is retained under perturbation.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
8