Perturbation of matrices diagonalizable under congruence

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Susana Borges Furtado (Author) FEP; Johnson, CR (Author) Other

Journal

Title: SIAM Journal on Matrix Analysis and Applications

Vol. 28

Pages: 81-88

ISSN: 0895-4798

Publisher: Society for Industrial and Applied Mathematics

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 2 Citations

Other information

Authenticus ID: P-004-QRR

DOI: 10.1137/s089547980343775x

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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8