On the computation of a versal family of matrices
type: Item
instance of: scholarly article
title: On the computation of a versal family of matrices
zbMATH Open document ID: 0780.58006
DOI: 10.1007/BF02142739
author: Laurent Stolovitch
published in: Numerical Algorithms
publication date: 1993-05-16T00:00:00Z
review text: The theory of versal deformations of a matrix is introduced. Algebraic forms of the secant, the updating secant, and the Newton method for computing such a deformation are derived. It is proved under certain conditions, that an analytic similarity transformation is locally equivalent to an additive holomorphic deformation.
Mathematics Subject Classification ID: 58C15
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 65F30
zbMATH DE Number: 165777
zbMATH Keywords: versal deformations
zbMATH Keywords: matrix
zbMATH Keywords: Newton method
zbMATH Keywords: similarity transformation
zbMATH Keywords: additive holomorphic deformation
reviewed by: Axel Ruhe
MaRDI profile type: Publication
cites work: ON MATRICES DEPENDING ON PARAMETERS
cites work: Quasi-Newton Methods, Motivation and Theory
cites work: On miniversal deformations of matrices
cites work: Normal forms of holomorphic matrix-valued functions and corresponding forms for singular differential operators
description: scientific article; zbMATH DE number 165777