2023/12/22 by Andrii Dmytryshyn, Dmytryshyn, Andrii · 2 citations
Computer Science · Mathematics · #15A21 #15A63 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2312.14910
openalex publication_date 2023/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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 reduction of unstructured perturbations to structured perturbations.