The stability of inversion formulas for Toeplitz matrices
type: Item
instance of: scholarly article
title: The stability of inversion formulas for Toeplitz matrices
zbMATH Open document ID: 0835.65047
DOI: 10.1016/0024-3795(94)00218-3
author: Marlis Hochbruck
author: Martin H. Gutknecht
published in: Linear Algebra and its Applications
publication date: 1995-09-06T00:00:00Z
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 778261
zbMATH Keywords: stability
zbMATH Keywords: inverse of Toeplitz matrices
zbMATH Keywords: inversion formulas
zbMATH Keywords: biorthogonal Szegö polynomials
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00218-3
OpenAlex ID: W2008408131
cites work: Downdating of Szegö polynomials and data-fitting applications
cites work: Q3730927
cites work: Superfast Solution of Real Positive Definite Toeplitz Systems
cites work: Polynomials defined by a difference system
cites work: Asymptotically fast solution of Toeplitz and related systems of linear equations
cites work: Stability of Methods for Solving Toeplitz Systems of Equations
cites work: The weak and strong stability of algorithms in numerical linear algebra
cites work: A new algorithm for solving Toeplitz systems of equations
cites work: New inversion formulas for matrices classified in terms of their distance from Toeplitz matrices
cites work: Q4775961
cites work: Q3359644
cites work: Stable row recurrences for the Padé table and generically superfast lookahead solvers for non-Hermitian Toeplitz systems
cites work: Optimized look-ahead recurrences for adjacent rows in the Padé table
cites work: Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems
cites work: Algebraic methods for Toeplitz-like matrices and operators
cites work: Inversion of matrices with displacement structure
cites work: Q3834158
cites work: Q4733961
cites work: Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
cites work: Q3050567
cites work: An Algorithm for the Inversion of Finite Toeplitz Matrices
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description: scientific article; zbMATH DE number 778261