Congruence and $A^{-1}A^*$

• Type: Article in International Scientific Journal
• Date: 2007

Authors

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

Journal

Title: Portugaliae Mathematica

Vol. 64 No. 2

Pages: 237-251

ISSN: 0032-5155

Publisher: European Mathematical Society Publishing House

Other information

Authenticus ID: P-019-6Q5

DOI: 10.4171/pm/1785

Abstract (EN): <jats:p> A canonical form under congruence for nonsingular complex matrices may be deduced from the canonical pair form for Hermitian matrices in a straightforward way. This allows the study of <jats:inline-formula> <jats:tex-math>A^{-1}A^*</jats:tex-math> </jats:inline-formula> and what it says about the congruence class of <jats:inline-formula> <jats:tex-math>A</jats:tex-math> </jats:inline-formula> . In turn, alternate congruential forms may be given along with a further generalization of Sylvester's law of inertia and an application to C-S equivalence. </jats:p>

Language: English

Type (Professor's evaluation): Scientific