Miniversal deformations of matrices under *congruence and reducing transformations
2014 (English)In: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 446, no April, 388-420 p.Article in journal (Refereed) Published
Arnold (1971)  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) .
Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 446, no April, 388-420 p.
Natural Sciences Mathematics
Research subject Mathematics
IdentifiersURN: urn:nbn:se:umu:diva-88006DOI: 10.1016/j.laa.2014.01.016ISI: 000334146700027OAI: oai:DiVA.org:umu-88006DiVA: diva2:713112
FundereSSENCE - An eScience CollaborationSwedish Research Council, A0581501