VERSAL DEFORMATIONS: A TOOL OF LINEAR ALGEBRA
Journal article, 2025

A versal deformation of a matrix A is a normal form to which all matrices A + E, close to A, can be reduced by similarity transformation smoothly depending on the entries of A + E. In this paper, we discuss versal deformations and their use in codimension computations, in investigation of closure relations of orbits and bundles, in studying changes of canonical forms under perturbations, as well as in the reduction of unstructured perturbations to structured perturbations.

Versal deformation

Perturbation

Canonical form

Similarity

Codimension

Jordan canonical form

Author

Andrii Dmytryshyn

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Electronic Journal of Linear Algebra

15379582 (ISSN) 10813810 (eISSN)

Vol. 41 100-114

Subject Categories (SSIF 2025)

Mathematical sciences

Computer and Information Sciences

DOI

10.13001/ela.2025.8191

More information

Latest update

2/12/2025