Solution of systems with Toeplitz matrices generated by rational functions

DOI10.1016/0024-3795(86)90122-9zbMath0588.15003OpenAlexW1997375497MaRDI QIDQ1073128

William F. Trench

Publication date: 1986

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90122-9

zbMATH Keywords

rational generating functionsToeplitz matricesbounded Toeplitz systems

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Related Items (5)

On some properties of positive definite Toeplitz matrices and their possible applications ⋮ Efficient solution of block Toeplitz systems with multiple right-hand sides arising from a periodic boundary element formulation ⋮ Inversion des matrices de Hankel. (Inversion of Hankel matrices) ⋮ Explicit weighting coefficients for predicting ARMA time series from the finite past ⋮ On the condition numbers of large semi-definite Toeplitz matrices

Cites Work

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• Band matrices with Toeplitz inverses
• Explicit Inversion Formulas for Toeplitz Band Matrices
• Solution of Linear Equations with Rational Toeplitz Matrices
• Toeplitz Matrices Generated by the Laurent Series Expansion of an Arbitrary Rational Function
• Weighting Coefficients for the Prediction of Stationary Time Series from the Finite Past
• An Algorithm for the Inversion of Finite Toeplitz Matrices

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