Name
Abstract | ||
|---|---|---|
A matricial computation of quadrature formulas for orthogonal rational functions on the unit circle, is presented in this paper. The nodes of these quadrature formulas are the zeros of the para-orthogonal rational functions with poles in the exterior of the unit circle and the weights are given by the corresponding Christoffel numbers. We show how these nodes can be obtained as the eigenvalues of the operator Mobius transformations of Hessenberg matrices and also as the eigenvalues of the operator Mobius transformations of five-diagonal matrices, recently obtained. We illustrate the preceding results with some numerical examples. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s11075-008-9257-9 | Numerical Algorithms |
Keywords | Field | DocType |
Orthogonal rational functions,Para-orthogonal rational functions,Szegő quadrature formulas,Möbius transformations,42C05 | Gauss–Kronrod quadrature formula,Mathematical analysis,Tanh-sinh quadrature,Numerical integration,Clenshaw–Curtis quadrature,Unit circle,Quadrature (mathematics),Rational function,Gauss–Jacobi quadrature,Mathematics | Journal |
Volume | Issue | ISSN |
52 | 1 | 1017-1398 |
Citations | PageRank | References |
7 | 0.64 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adhemar Bultheel | 1 | 217 | 34.80 |
| Maria-José Cantero | 2 | 7 | 0.64 |