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arXiv · 1004.3584

Miniversal deformations of matrices of bilinear forms

Andrii R. Dmytryshyn·Vyacheslav Futorny·Vladimir V. Sergeichuk
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Abstract

V.I. Arnold [Russian Math. Surveys 26 (2) (1971) 29-43] constructed a miniversal deformation of 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 a miniversal deformation of matrices under congruence.

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BibTeXRIS

Andrii R. Dmytryshyn, Vyacheslav Futorny, Vladimir V. Sergeichuk. 2010-04-20. Miniversal deformations of matrices of bilinear forms. https://doi.org/10.1016/j.laa.2011.11.010

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