Formally biorthogonal polynomials and a look-ahead Levinson algorithm for general Toeplitz systems
type: Item
instance of: scholarly article
title: Formally biorthogonal polynomials and a look-ahead Levinson algorithm for general Toeplitz systems
zbMATH Open document ID: 0777.65011
DOI: 10.1016/0024-3795(93)90471-Y
author: Roland W. Freund
author: Hongyuan Zha
published in: Linear Algebra and its Applications
publication date: 1993-08-25T00:00:00Z
review text: An extension of the Levinson algorithm for general Toeplitz systems is derived. Numerical results are also presented.
reviewed by: S.Filippi
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 398924
zbMATH Keywords: biorthogonal polynomials
zbMATH Keywords: numerical results
zbMATH Keywords: Levinson algorithm
zbMATH Keywords: Toeplitz systems
MaRDI profile type: Publication
cites work: Superfast Solution of Real Positive Definite Toeplitz Systems
cites work: Numerical solution of linear equations with Toeplitz and vector Toeplitz matrices
cites work: Polynomials defined by a difference system
cites work: Asymptotically fast solution of Toeplitz and related systems of linear equations
cites work: Fast solution of toeplitz systems of equations and computation of Padé approximants
cites work: Laurent series and their Padé approximations
cites work: Stability of Methods for Solving Toeplitz Systems of Equations
cites work: A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems
cites work: A look-ahead Levinson algorithm for general Toeplitz systems
cites work: Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix
cites work: The Fitting of Time-Series Models
cites work: An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
cites work: A look-ahead algorithm for the solution of general Hankel systems
cites work: Q3359644
cites work: Inversion of Toeplitz Matrices which are not Strongly Non-singular
cites work: Q3870211
cites work: Q3752135
cites work: Stable row recurrences for the Padé table and generically superfast lookahead solvers for non-Hermitian Toeplitz systems
cites work: Algebraic methods for Toeplitz-like matrices and operators
cites work: Toeplitz eigensystem solver
cites work: Q3955520
cites work: Combined sequence of Markov parameters and moments in linear systems
cites work: Recursive partial realization from the combined sequence of Markov parameters and moments
cites work: Q5820720
cites work: A view of three decades of linear filtering theory
cites work: Fast projection methods for minimal design problems in linear system theory
cites work: Q3717925
cites work: Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
cites work: Some properties of biorthogonal polynomials
cites work: Q4775345
cites work: Algorithms for Triangular Decomposition of Block Hankel and Toeplitz Matrices with Application to Factoring Positive Matrix Polynomials
cites work: An algorithm for solving discrete-time Wiener-Hopf equations based upon Euclid's algorithm
cites work: Fast block Toeplitz orthogonalization
cites work: An Algorithm for the Inversion of Finite Toeplitz Matrices
cites work: Numerical Solution of the Eigenvalue Problem for Hermitian Toeplitz Matrices
cites work: Q4836682
cites work: Q3927639
cites work: Schur algorithms for Hermitian Toeplitz, and Hankel matrices with singular leading principal submatrices
cites work: Toeplitz Matrix Inversion: The Algorithm of W. F. Trench
cites work: The Solution of a Toeplitz Set of Linear Equations
Recommended article: A look-ahead Levinson algorithm for general Toeplitz systems
Recommended article: A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems
Recommended article: Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems
Recommended article: Erratum: A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems
Recommended article: Q4306797
Recommended article: Q4327532
Recommended article: Transformation of the problem of solution of bilevel Toeplitz systems to a polynomial system
Recommended article: The even-odd split Levinson algorithm for Toeplitz systems
Recommended article: Q4261046
Recommended article: A system of biorthogonal polynomials and its applications
description: scientific article; zbMATH DE number 398924