A fast approach to stabilize two Toeplitz solvers of the Levinson type

DOI10.1007/BF02575715zbMath0904.65034OpenAlexW2073362130MaRDI QIDQ1127944

Plamen Yordanov Yalamov

Publication date: 10 August 1998

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575715

zbMATH Keywords

algorithmsstabilizationparallel computationToeplitz systemsiterative refinementLevinson methodill-conditioned submatrices

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• TOEPLITZ

Cites Work

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• Algebraic methods for Toeplitz-like matrices and operators
• Formally biorthogonal polynomials and a look-ahead Levinson algorithm for general Toeplitz systems
• A look-ahead Bareiss algorithm for general Toeplitz matrices
• Numerical solution of linear equations with Toeplitz and vector Toeplitz matrices
• Stability of Methods for Solving Toeplitz Systems of Equations
• The Numerical Stability of the Levinson-Durbin Algorithm for Toeplitz Systems of Equations
• A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems
• On the Stability of the Bareiss and Related Toeplitz Factorization Algorithms
• Displacement Structure: Theory and Applications
• Stabilization by Perturbation of a 4n² Toeplitz Solver
• An Algorithm for the Inversion of Finite Toeplitz Matrices

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