A matricial computation of rational quadrature formulas on the unit circle

DOI10.1007/s11075-008-9257-9zbMath1172.65015OpenAlexW2140599194MaRDI QIDQ841155

Adhemar Bultheel, María José Cantero

Publication date: 14 September 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://www.cs.kuleuven.be/cwis/research/nalag/papers/ade/QORF5D/

zbMATH Keywords

Möbius transformationsnumerical exampleseigenvaluesquadrature formulasorthogonal rational functionsHessenberg matricespara-orthogonal rational functions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Interpolation in approximation theory (41A05) Numerical quadrature and cubature formulas (65D32)

Related Items (10)

Computation of rational Szegő-Lobatto quadrature formulas ⋮ Numerical integration as a finite matrix approximation to multiplication operator ⋮ Orthogonal rational functions on the unit circle with prescribed poles not on the unit circle ⋮ A generalized eigenvalue problem for quasi-orthogonal rational functions ⋮ Recurrence relations for orthogonal rational functions ⋮ On expansions in orthogonal polynomials ⋮ An extension of the associated rational functions on the unit circle ⋮ Biorthogonal rational functions of $R_{II}$-type ⋮ Matrix methods for quadrature formulas on the unit circle. A survey ⋮ On Canonical Solutions of a Moment Problem for Rational Matrix-valued Functions

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