A note on canonical forms for matrix congruence

Jeffrey M. Lee; David A. Weinberg

doi:10.1016/0024-3795(95)00357-6

A note on canonical forms for matrix congruence

Jeffrey M. Lee, David A. Weinberg

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Canonical forms for matrix congruence for general matrices are exhibited as an easy consequence of results presented in a recent paper by R. C. Thompson on pencils of symmetric and skew symmetric matrices. We also show how to exhibit standard equivalence class representatives in the orbits of the semiorthogonal groups acting naturally on skew symmetric forms.

Original language	English
Pages (from-to)	207-215
Number of pages	9
Journal	Linear Algebra and Its Applications
Volume	249
Issue number	1-3
DOIs	https://doi.org/10.1016/0024-3795(95)00357-6
State	Published - Dec 1996

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abstract = "Canonical forms for matrix congruence for general matrices are exhibited as an easy consequence of results presented in a recent paper by R. C. Thompson on pencils of symmetric and skew symmetric matrices. We also show how to exhibit standard equivalence class representatives in the orbits of the semiorthogonal groups acting naturally on skew symmetric forms.",

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