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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2007

Autores

Susana Borges Furtado (Autor) FEP; Johnson, CR (Autor) Outra

Revista

Título: Portugaliae Mathematica

Vol. 64 Nº 2

Páginas: 237-251

ISSN: 0032-5155

Editora: European Mathematical Society Publishing House

Outras Informações

ID Authenticus: 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>

Idioma: Inglês

Tipo (Avaliação Docente): Científica