Companion matrix patterns
type: Item
instance of: scholarly article
title: Companion matrix patterns
zbMATH Open document ID: 1310.15015
published in: Linear Algebra and its Applications
publication date: 2014-10-06T00:00:00Z
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B99
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 6351457
zbMATH Keywords: companion matrix
zbMATH Keywords: spectrum
zbMATH Keywords: zeros of a polynomial
zbMATH Keywords: pentadiagonal
zbMATH Keywords: spectrally arbitrary
zbMATH Keywords: Frobenius companion matrices
zbMATH Keywords: roots of polynomials
author: Brydon Eastman
author: In-Jae Kim
author: Bryan L. Shader
author: Kevin N. Vander Meulen
MaRDI profile type: Publication
full work available at URL: j.laa.2014.09.010
OpenAlex ID: W2051471495
cites work: Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix
cites work: Minimal Spectrally Arbitrary Sign Patterns
cites work: Palindromic linearizations of a matrix polynomial of odd degreee obtained from Fiedler pencils with repetition
cites work: Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations
cites work: Allow problems concerning spectral properties of patterns
cites work: Spectrally arbitrary patterns
cites work: Potentially nilpotent sign pattern matrices
cites work: A note on companion matrices
cites work: Q3359644
cites work: Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices
cites work: Extremal sparsity of the companion matrix of a polynomial
cites work: The continuing influence of Fiedler's work on companion matrices
cites work: Condition numbers for inversion of Fiedler companion matrices
cites work: A permuted factors approach for the linearization of polynomial matrices
DOI: 10.1016/J.LAA.2014.09.010
description: scientific article; zbMATH DE number 6351457