Congruence and
Susana Furtado
Universidade do Porto, PortugalCharles R. Johnson
College of William and Mary, Williamsburg, United States
![Congruence and $A^{-1}A^*$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-pm-volume-64-issue-2.png&w=3840&q=90)
Abstract
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 and what it says about the congruence class of . 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.
Cite this article
Susana Furtado, Charles R. Johnson, Congruence and . Port. Math. 64 (2007), no. 2, pp. 237–251
DOI 10.4171/PM/1785