An algorithm for computing the eigenvalues of block companion matrices
type: Item
instance of: scholarly article
title: An algorithm for computing the eigenvalues of block companion matrices
zbMATH Open document ID: 1260.65024
author: Katrijn Frederix
author: Steven Delvaux
author: Marc van Barel
published in: Numerical Algorithms
publication date: 2013-02-15T00:00:00Z
full work available at URL: https://lirias.kuleuven.be/handle/123456789/223722
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 6136619
zbMATH Keywords: Givens-weight representation
zbMATH Keywords: companion matrix
zbMATH Keywords: rank structured matrix
zbMATH Keywords: numerical examples
zbMATH Keywords: roots
zbMATH Keywords: matrix polynomial
zbMATH Keywords: eigenvalues
zbMATH Keywords: QR algorithm
zbMATH Keywords: Hessenberg form
MaRDI profile type: Publication
OpenAlex ID: W2171583203
cites work: On the shifted QR iteration applied to companion matrices
cites work: Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank‐One Perturbations of Unitary Matrices
cites work: Q5448146
cites work: A Divide and Conquer method for the symmetric tridiagonal eigenproblem
cites work: A Hessenberg Reduction Algorithm for Rank Structured Matrices
cites work: A Givens-Weight Representation for Rank Structured Matrices
cites work: Eigenvalue computation for unitary rank structured matrices
cites work: A QR-Based Solver for Rank Structured Matrices
cites work: A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
cites work: Polynomial Roots from Companion Matrix Eigenvalues
cites work: Q5689624
cites work: Q4348515
cites work: Relatively robust representations of symmetric tridiagonals
cites work: Implicit double shift \(QR\)-algorithm for companion matrices
cites work: Q4700590
DOI: 10.1007/S11075-012-9579-5
description: scientific article; zbMATH DE number 6136619