Journal of Computational and Applied Mathematics - Special issue on computational complex analysis
Quadrature formulas on the unit circle based on rational functions
ICCAM'92 Proceedings of the fifth international conference on Computational and applied mathematics
Orthogonal rational functions and quadrature on an interval
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Orthonormal Basis Functions in Time and Frequency Domain: Hambo Transform Theory
SIAM Journal on Control and Optimization
An interpolation algorithm for orthogonal rational functions
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Szegő-Lobatto quadrature rules
Journal of Computational and Applied Mathematics
Rational quadrature formulae on the unit circle with arbitrary poles
Numerische Mathematik
Orthogonal rational functions and rational modifications of a measure on the unit circle
Journal of Approximation Theory
Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
Journal of Computational and Applied Mathematics
IEEE Transactions on Information Theory
Positive rational interpolatory quadrature formulas on the unit circle and the interval
Applied Numerical Mathematics
Hi-index | 0.00 |
Szego quadrature formulas are analogs of Gauss quadrature rules when dealing with the approximate integration of periodic functions, since they exactly integrate trigonometric polynomials of as high degree as possible, or more generally Laurent polynomials which can be viewed as rational functions with poles at the origin and infinity. When more general rational functions with prescribed poles on the extended complex plane not on the unit circle are considered to be exactly integrated, the so-called ''Rational Szego Quadrature Formulas'' appear. In this paper, some computational aspects concerning these quadratures are analyzed when one or two nodes are previously fixed on the unit circle.