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Miniversal deformations of matrices of bilinear forms
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, High Performance Computing Center North (HPC2N).
University of Sao 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, 2670-2700 p.Article 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, 2670-2700 p.
Keyword [en]
Bilinear forms, Miniversal deformations
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-88007DOI: 10.1016/j.laa.2011.11.010ISI: 000301083100069OAI: oai:DiVA.org:umu-88007DiVA: diva2:713113
Available from: 2014-04-21 Created: 2014-04-21 Last updated: 2017-12-05Bibliographically approved

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Dmytryshyn, Andrii
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