Trigonometric orthogonal systems and quadrature formulae
From MaRDI portal
Publication:2389478
DOI10.1016/j.camwa.2008.07.024zbMath1165.65325OpenAlexW2092738272WikidataQ115058754 ScholiaQ115058754MaRDI QIDQ2389478
Marija P. Stanić, Aleksandar S. Cvetković, Gradimir V. Milovanović
Publication date: 17 July 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.07.024
weightsrecurrence relationtrigonometric interpolationnodesorthogonalityquadrature rules of Gaussian typetrigonometric degree of exactness
Related Items (10)
Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree ⋮ Quadrature Rules with Multiple Nodes ⋮ Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas ⋮ Positive trigonometric quadrature formulas and quadrature on the unit circle ⋮ Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree ⋮ Error estimates for quadrature rules with maximal even trigonometric degree of exactness ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ Trigonometric Orthogonal Systems ⋮ Quadrature formulae with multiple nodes and a maximal trigonometric degree of exactness ⋮ Error estimates for some quadrature rules with maximal trigonometric degree of exactness
Uses Software
Cites Work
- Szegő-Lobatto quadrature rules
- A divide and conquer method for unitary and orthogonal eigenproblems
- An extension of the theory of orthogonal polynomials and Gaussian quadrature to trigonometric and hyperbolic polynomials
- The QR algorithm for unitary Hessenberg matrices
- Schur parameter pencils for the solution of the unitary eigenproblem
- A new form of trigonometric orthogonality and Gaussian-type quadrature
- Quadrature formulae with free nodes for periodic functions
- Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
- On the construction of Szegő polynomials
- On bi-orthogonal systems of trigonometric functions and quadrature formulas for periodic integrands
- Eigenvalue computation for unitary rank structured matrices
- A matrix approach to the computation of quadrature formulas on the unit circle
- Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree
- Quadrature formulae
- Anti-Szego quadrature rules
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
- Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
- An implementation of a divide and conquer algorithm for the unitary eigen problem
- A Stable Divide and Conquer Algorithm for the Unitary Eigenproblem
- Quadrature formulae of the highest trigonometric degree of accuracy
- On a Sturm Sequence of Polynomials for Unitary Hessenberg Matrices
- Gaussian-type Quadrature Rules for Müntz Systems
- An Error Analysis of a Unitary Hessenberg QR Algorithm
- Calculation of Gauss Quadrature Rules
- Analytic Inequalities
- A connection between quadrature formulas on the unit circle and the interval \([-1,1\)]
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Trigonometric orthogonal systems and quadrature formulae