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Miniversal deformations of matrices of bilinear forms
Department of Computing Science and HPC2N, Umeå University, Umeå, Sweden.ORCID iD: 0000-0001-9110-6182
Department of Mathematics, University of São Paulo, São Paulo, Brazil.
Institute of Mathematics, Kiev, Ukraine.
2012 (English)In: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 436, no 7, p. 2670-2700Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2012. Vol. 436, no 7, p. 2670-2700
Keywords [en]
Bilinear forms, Miniversal deformations
National Category
Mathematical Analysis Computational Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-74886DOI: 10.1016/j.laa.2011.11.010ISI: 000301083100069Scopus ID: 2-s2.0-84857115692OAI: oai:DiVA.org:oru-74886DiVA, id: diva2:1332902
Available from: 2019-06-28 Created: 2019-06-28 Last updated: 2019-09-20Bibliographically approved

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Dmytryshyn, Andrii

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