Sensitivity of solutions of linear DAE to perturbations of the system matrices
type: Item
instance of: scholarly article
title: Sensitivity of solutions of linear DAE to perturbations of the system matrices
zbMATH Open document ID: 0933.65094
DOI: 10.1023/A:1019158524005
author: P. M. E. J. Wijckmans
author: R. M. M. Mattheij
published in: Numerical Algorithms
publication date: 1999-04-27T00:00:00Z
review text: The effect of perturbations in the system matrices defined by linear differential algebraic equations (DAE) is investigated. It is proved that these perturbations may be more useful in a more complicated perturbation pattern for higher index DAE than in the case of standard perturbations. Index-1 and index-2 problems are investigated. It is noted that the above problems are obtained in many nonlinear ones. Numerical illustrations show the effectiveness of the developed theory.
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 1268437
zbMATH Keywords: conditioning
zbMATH Keywords: perturbations
zbMATH Keywords: linear differential algebraic equations
zbMATH Keywords: nonlinear
reviewed by: T. E. Simos
MaRDI profile type: Publication
full work available at URL: a:1019158524005
OpenAlex ID: W2127426049
description: scientific article; zbMATH DE number 1268437