A numerical algorithm for computing the restricted singular value decomposition of matrix triplets
type: Item
instance of: scholarly article
title: A numerical algorithm for computing the restricted singular value decomposition of matrix triplets
zbMATH Open document ID: 0748.65038
DOI: 10.1016/0024-3795(92)90285-I
author: Hongyuan Zha
published in: Linear Algebra and its Applications
publication date: 1992-09-27T00:00:00Z
review text: For a triplet of matrices \(A\), \(B\), \(C\) arising for example in linear control systems \(x=Ax+Bu\), \(y=Cx\) an algorithm is given to compute the restricted singular value decomposition of the triplet. The method is based on a reduction step to get a regular triplet that can be treated by the Kogbetliantz algorithm followed by some rank computations. Numerical examples are given.
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 57560
zbMATH Keywords: rank detection
zbMATH Keywords: triplet of matrices
zbMATH Keywords: linear control systems
zbMATH Keywords: singular value decomposition
zbMATH Keywords: Kogbetliantz algorithm
zbMATH Keywords: Numerical examples
reviewed by: Volker Mehrmann
MaRDI profile type: Publication
cites work: Canonical correlations and generalized SVD: Applications and new algorithms
cites work: Q3359644
cites work: Computing the Singular Value Decomposition of a Product of Two Matrices
cites work: Computing the Generalized Singular Value Decomposition
cites work: The computation of Kronecker's canonical form of a singular pencil
cites work: The Restricted Total Least Squares Problem: Formulation, Algorithm, and Properties
cites work: The Restricted Singular Value Decomposition of Matrix Triplets
cites work: Regularization and the General Gauss-Markov Linear Model
description: scientific article; zbMATH DE number 57560