Quadrature rules from a \(R_{II}\) type recurrence relation and associated quadrature rules on the unit circle

DOI10.1007/s11075-019-00714-wzbMath1433.42028arXiv1811.10985OpenAlexW2952244793MaRDI QIDQ2299214

A. Sri Ranga, Alfredo jun. Pereira, Cleonice F. Bracciali

Publication date: 20 February 2020

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

Full work available at URL: https://arxiv.org/abs/1811.10985

zbMATH Keywords

quadrature rulesorthogonal polynomials on the unit circle\(R_{II}\) type recurrence relation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical quadrature and cubature formulas (65D32) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (3)

A modified least squares method: approximations on the unit circle and on \((-1,1)\) ⋮ Spectral properties related to generalized complementary Romanovski-Routh polynomials ⋮ Chain sequences and zeros of polynomials related to a perturbed \(R_{II}\) type recurrence relation

Cites Work

• Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas
• Orthogonal polynomials on the unit circle and chain sequences
• An algorithm for the generalized symmetric tridiagonal eigenvalue problem
• \(R_{II}\) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
• Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
• Generalized orthogonality and continued fractions
• Biorthogonal rational functions and the generalized eigenvalue problem
• Quadratures and orthogonality associated with the Cayley transform
• Matrix methods for quadrature formulas on the unit circle. A survey
• A matrix approach to the computation of quadrature formulas on the unit circle
• Continuation methods for the computation of zeros of Szegő polynomials
• Some Perspectives on the Eigenvalue Problem
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• On Generating Orthogonal Polynomials
• On Positive Harmonic Functions: A Contribution to the Algebra of Fourier Series
• Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions
• Computational Aspects of Three-Term Recurrence Relations
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