A structured staircase algorithm for skew-symmetric/symmetric pencils
type: Item
instance of: scholarly article
title: A structured staircase algorithm for skew-symmetric/symmetric pencils
zbMATH Open document ID: 1113.65065
author: Ralph Byers
author: Volker Mehrmann
author: Hongguo Xu
publication date: 2007-03-16T00:00:00Z
full work available at URL: https://eudml.org/doc/127545
full work available at URL: pp1-33.html
review text: Structure preserving algorithms are constructed for the numerical computation of structured staircase forms of skew-symmetric/symmetric matrix pencils along with the Kronecker indices of the associated skew-symmetric/symmetric Kronecker-like canonical form. Two different algorithms are given. It is shown how the structured staircase form can be used to solve boundary value problems arising in control applications and numerical examples are presented.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 49N10
zbMATH DE Number: 5134507
zbMATH Keywords: Structured staircase form
zbMATH Keywords: linear-quadratic control
zbMATH Keywords: algorithms
zbMATH Keywords: Kronecker-like canonical form
zbMATH Keywords: boundary value problems
zbMATH Keywords: numerical examples
reviewed by: Thomas Sonar
MaRDI profile type: Publication
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 5134507