Intertwining and testing matrices corresponding to a polynomial
type: Item
instance of: scholarly article
title: Intertwining and testing matrices corresponding to a polynomial
zbMATH Open document ID: 0621.15016
DOI: 10.1016/0024-3795(87)90287-4
author: Miroslav Fiedler
author: Vlastimil Pták
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: The concept of the class of intertwining matrices for a polynomial f of degree \(m\leq n\) is introduced with the property that a matrix H belongs to the family of all \(n\times n\) Hankel matrices compatible with f if and only if \(HR^ T=RH\) for all R belonging to the class of intertwining matrices for f. A characterization of ''testing matrices'' is also given.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A12
zbMATH DE Number: 4006446
zbMATH Keywords: companion matrix
zbMATH Keywords: intertwining matrices
zbMATH Keywords: Hankel matrices
zbMATH Keywords: testing matrices
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90287-4
OpenAlex ID: W2036199060
cites work: Hankel and Loewner matrices
cites work: Polynomials and Hankel matrices
cites work: Spectral radius, norms of iterates, and the critical exponent
cites work: Q4189387
cites work: Biorthogonal systems and the infinite companion matrix
description: scientific article; zbMATH DE number 4006446