Artículos de revistas
Miniversal deformations of matrices of bilinear forms
Fecha
2012Registro en:
LINEAR ALGEBRA AND ITS APPLICATIONS, NEW YORK, v. 436, n. 7, supl. 1, Part 3, pp. 2670-2700, APR 1, 2012
0024-3795
10.1016/j.laa.2011.11.010
Autor
Dmytryshyn, Andrii R.
Futorny, Vyacheslav
Sergeichuk, Vladimir V.
Institución
Resumen
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. (C) 2011 Elsevier Inc. All rights reserved.