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Miniversal deformations of matrices under *congruence and reducing transformations
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.
2014 (engelsk)Inngår i: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 446, nr April, s. 388-420Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Arnold (1971) [1] constructed a miniversal deformation of a square complex matrix 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 give miniversal deformations of matrices of sesquilinear forms; that is, of square complex matrices under *congruence, and construct an analytic reducing transformation to a miniversal deformation. Analogous results for matrices under congruence were obtained by Dmytryshyn, Futorny, and Sergeichuk (2012) [11].

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Elsevier, 2014. Vol. 446, nr April, s. 388-420
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matematik
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URN: urn:nbn:se:oru:diva-74887DOI: 10.1016/j.laa.2014.01.016ISI: 000334146700027Scopus ID: 2-s2.0-84894271676OAI: oai:DiVA.org:oru-74887DiVA, id: diva2:1332903
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eSSENCE - An eScience CollaborationSwedish Research Council, A0581501Tilgjengelig fra: 2019-06-28 Laget: 2019-06-28 Sist oppdatert: 2019-09-20bibliografisk kontrollert

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