| Full text | |
| Author(s): |
Dmytryshyn, Andrii
;
Futorny, Vyacheslav
;
Sergeichuk, Vladimir V.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Linear Algebra and its Applications; v. 446, p. 33-pg., 2014-04-01. |
| Abstract | |
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]. (C) 2014 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 10/50347-9 - Algebras, representations e applications |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/18139-2 - Methods of representation theory in linear algebra |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 10/07278-6 - Canonical matrices and their miniversal deformations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |