An extended relation between orthogonal rational functions on the unit circle and the interval \([ - 1,1]\)

DOI10.1016/j.jmaa.2007.01.031zbMath1117.30030OpenAlexW2058556423MaRDI QIDQ996911

Joris Van Deun, Adhemar Bultheel, Karl Deckers

Publication date: 19 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.031

zbMATH Keywords

orthogonal rational functions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10)

Related Items (14)

On some rational functions that are analogs of the Chebyshev polynomials ⋮ Orthogonal rational functions on the extended real line and analytic on the upper half plane ⋮ A numerical solution of the constrained weighted energy problem ⋮ Computation of rational Szegő-Lobatto quadrature formulas ⋮ Positive rational interpolatory quadrature formulas on the unit circle and the interval ⋮ The Short-Term Rational Lanczos Method and Applications ⋮ A generalized eigenvalue problem for quasi-orthogonal rational functions ⋮ An extension of the associated rational functions on the unit circle ⋮ Baxter's difference systems and orthogonal rational functions ⋮ Rational interpolation. II: Quadrature and convergence ⋮ Rational Szegő quadratures associated with Chebyshev weight functions ⋮ Functions of rational Krylov space matrices and their decay properties ⋮ Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm ⋮ Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations

Cites Work

• Orthogonal rational functions and tridiagonal matrices
• Rational Gauss-Chebyshev quadrature formulas for complex poles outside $[-1,1$]
• On computing rational Gauss-Chebyshev quadrature formulas
• A connection between quadrature formulas on the unit circle and the interval \([-1,1\)]
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• Unnamed Item

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