Journal of Computational and Applied Mathematics - Special issue on computational complex analysis
Bounds for remainder terms in Szego¨ quadrature on the unit circle
Proceedings of the conference on Approximation and computation : a fetschrift in honor of Walter Gautschi: a fetschrift in honor of Walter Gautschi
Szegö polynomials and quadrature formulas on the unit circle
Applied Numerical Mathematics
Szegö quadrature formulas for certain Jacobi-type weight functions
Mathematics of Computation
Szegő-Lobatto quadrature rules
Journal of Computational and Applied Mathematics
Rational quadrature formulae on the unit circle with arbitrary poles
Numerische Mathematik
A matrix approach to the computation of quadrature formulas on the unit circle
Applied Numerical Mathematics
Quadrature formulas associated with Rogers-Szegő polynomials
Computers & Mathematics with Applications
Orthogonality, interpolation and quadratures on the unit circle and the interval [-1,1]
Journal of Computational and Applied Mathematics
Computation of rational Szegő-Lobatto quadrature formulas
Applied Numerical Mathematics
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In this paper we investigate the Szego-Radau and Szego-Lobatto quadrature formulas on the unit circle. These are (n+m)-point formulas for which m nodes are fixed in advance, with m=1 and m=2 respectively, and which have a maximal domain of validity in the space of Laurent polynomials. This means that the free parameters (free nodes and positive weights) are chosen such that the quadrature formula is exact for all powers z^j, -p@?j@?p, with p=p(n,m) as large as possible.