Generalized inversion of finite rank Hankel and Toeplitz operators with rational matrix symbols
type: Item
instance of: scholarly article
title: Generalized inversion of finite rank Hankel and Toeplitz operators with rational matrix symbols
zbMATH Open document ID: 0930.15006
DOI: 10.1016/S0024-3795(98)10216-1
author: V. Pereyra
published in: Linear Algebra and its Applications
publication date: 2000-02-09T00:00:00Z
review text: Formulas are obtained for the generalized inversion of finite rank Hankel operators and Hankel or Toeplitz operators with block matrices having finitely many rows. To this aim a left coprime fractional factorization \(a(t)=L^{-1}(t)N(t)\) and the Bézout equation \(L(t)U(t)+ N(t) V(t)= I_p\) are used \((L(t)\) is a nonsingular \(p\times p\) matrix polynomial, \(U(t)\) and \(V(t)\) are matrix polynomials in \(t)\).
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 1331370
zbMATH Keywords: generalized inversion
zbMATH Keywords: Hankel matrices
zbMATH Keywords: Hankel operators
zbMATH Keywords: Toeplitz operators
zbMATH Keywords: fractional factorization
zbMATH Keywords: Bézout equation
zbMATH Keywords: matrix polynomial
MaRDI profile type: Publication
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full work available at URL: s0024-3795(98)10216-1
OpenAlex ID: W2076016458
description: scientific article; zbMATH DE number 1331370