On families of symmetric matrices

J.W. Bruce

Research output: Contribution to journalArticle

Abstract

In this paper we consider germs of smooth families of symmetric matrices. Using the natural notion of equivalence, that is smooth change of parameters and parameterised conjugation, we obtain a list of all simple germs and investigate their geometry.
Original languageEnglish
Pages (from-to)335-360
JournalMoscow Mathematical Journal
Volume3
Issue number2
Publication statusPublished - 2003

Fingerprint

Symmetric matrix
Conjugation
Equivalence
Family

Keywords

  • Symmetric matrices
  • families of smooth mappings
  • singularities.

Cite this

Bruce, J. W. (2003). On families of symmetric matrices. Moscow Mathematical Journal, 3(2), 335-360.
Bruce, J.W. / On families of symmetric matrices. In: Moscow Mathematical Journal. 2003 ; Vol. 3, No. 2. pp. 335-360.
@article{8b1ac6c35e3f4765881133edc9791579,
title = "On families of symmetric matrices",
abstract = "In this paper we consider germs of smooth families of symmetric matrices. Using the natural notion of equivalence, that is smooth change of parameters and parameterised conjugation, we obtain a list of all simple germs and investigate their geometry.",
keywords = "Symmetric matrices, families of smooth mappings, singularities.",
author = "J.W. Bruce",
year = "2003",
language = "English",
volume = "3",
pages = "335--360",
journal = "Moscow Mathematical Journal",
issn = "1609-3321",
publisher = "Independent University of Moscow",
number = "2",

}

Bruce, JW 2003, 'On families of symmetric matrices', Moscow Mathematical Journal, vol. 3, no. 2, pp. 335-360.

On families of symmetric matrices. / Bruce, J.W.

In: Moscow Mathematical Journal, Vol. 3, No. 2, 2003, p. 335-360.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On families of symmetric matrices

AU - Bruce, J.W.

PY - 2003

Y1 - 2003

N2 - In this paper we consider germs of smooth families of symmetric matrices. Using the natural notion of equivalence, that is smooth change of parameters and parameterised conjugation, we obtain a list of all simple germs and investigate their geometry.

AB - In this paper we consider germs of smooth families of symmetric matrices. Using the natural notion of equivalence, that is smooth change of parameters and parameterised conjugation, we obtain a list of all simple germs and investigate their geometry.

KW - Symmetric matrices

KW - families of smooth mappings

KW - singularities.

M3 - Article

VL - 3

SP - 335

EP - 360

JO - Moscow Mathematical Journal

JF - Moscow Mathematical Journal

SN - 1609-3321

IS - 2

ER -