Advanced search
Start date
Betweenand
Conteúdos relacionados
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Miniversal deformations of matrices of bilinear forms

Full text
Author(s):
Dmytryshyn, Andrii R. [1, 2] ; Futorny, Vyacheslav [3] ; Sergeichuk, Vladimir V. [4]
Total Authors: 3
Affiliation:
[1] Umea Univ, Dept Comp Sci, SE-90187 Umea - Sweden
[2] Ukrainian Acad Sci, HPC2N, Kiev - Ukraine
[3] Univ Sao Paulo, Dept Math, BR-05508 Sao Paulo - Brazil
[4] Ukrainian Acad Sci, Inst Math, Kiev - Ukraine
Total Affiliations: 4
Document type: Journal article
Source: Linear Algebra and its Applications; v. 436, n. 7, p. 2670-2700, APR 1 2012.
Web of Science Citations: 14
Abstract

Arnold {[}V.I. Arnold, On matrices depending on parameters, Russian Math. Surveys 26 (2) (1971) 29-43] constructed miniversal deformations of square complex matrices under similarity; that is, a simple normal form to which not only a given square matrix A but all matrices B close to it can be reduced by similarity transformations that smoothly depend on the entries of B. We construct miniversal deformations of matrices under congruence. (C) 2011 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 10/07278-6 - Canonical matrices and their miniversal deformations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 05/59407-6 - Vladimir Sergeichuk | National Academy of Sciences of Ucraine - Ucrânia
Grantee:Vyacheslav Futorny
Support Opportunities: Research Grants - Visiting Researcher Grant - International