Fast inversion algorithms of Toeplitz-plus-Hankel matrices
type: Item
instance of: scholarly article
title: Fast inversion algorithms of Toeplitz-plus-Hankel matrices
zbMATH Open document ID: 0668.65025
DOI: 10.1007/BF01395817
author: G. Heinig
author: Karla Rost
author: P. Jankowski
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133259
review text: The authors consider a fast version of matrices \(A=T+H\), where T is Toeplitz and H is Hankel matrix. A variety of algorithms for \(T+H\)-matrix inversions is offered. Some of them can be applied for arbitrary strongly nonsingular \(T+H\)-matrices without additional assumption. The complexity of the different algorithms is compared and some recommendations are given.
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 4094670
zbMATH Keywords: Toeplitz-plus-Hankel matrices
zbMATH Keywords: fast matrix inversion
zbMATH Keywords: algorithms
zbMATH Keywords: complexity
MaRDI profile type: Publication
cites work: Laurent series and their Padé approximations
cites work: Efficient solution of linear systems of equations with recursive structure
cites work: Algebraic methods for Toeplitz-like matrices and operators
cites work: Q3716207
cites work: On the inverses of Toeplitz-plus-Hankel matrices
cites work: Q3955520
cites work: Efficient solution of a Toeplitz-plus-Hankel coefficient matrix system of equations
Recommended article: Q3716207
Recommended article: Fast inversion of Hankel and Toeplitz matrices
Recommended article: A fast algorithm for the inversion of general Toeplitz matrices
Recommended article: A new algorithm for the inversion of Hankel and Toeplitz matrices
Recommended article: Q3222309
Recommended article: Fast inversion of triangular Toeplitz matrices
Recommended article: Fast algorithms for Toeplitz and Hankel matrices
Recommended article: New Fast Algorithms for Toeplitz-Plus-Hankel Matrices
Recommended article: A fast algorithm for inversion of real lower triangular Toeplitz matrices
description: scientific article; zbMATH DE number 4094670