论文信息 - Perturbation of Matrices Diagonalizable under Congruence

Perturbation of Matrices Diagonalizable under Congruence

A matrix $A\in M_{n}(\mathbb{C})$ 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.

Charles R. Johnson | Susana Furtado | S. Furtado

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