VERSAL DEFORMATIONS: A TOOL OF LINEAR ALGEBRA
Artikel i vetenskaplig tidskrift, 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
Författare
Andrii Dmytryshyn
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
Electronic Journal of Linear Algebra
15379582 (ISSN) 10813810 (eISSN)
Vol. 41 100-114Ämneskategorier (SSIF 2025)
Matematik
Data- och informationsvetenskap (Datateknik)
DOI
10.13001/ela.2025.8191