Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. Part I. Algebraic aspects

Journal of Computational and Applied Mathematics

Volumn 65, Issue 1-3, 1995, Pages 57-72

  Bultheel, A ^a   Gonzalez Vera P ^b   Orive, R ^b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSIDAD DE LA LAGUNA   (Spain)

Author keywords

Orthogonal Laurent polynomials; Quadrature formula; Stieltjes function; Two point Pad approximation

Indexed keywords

EID: 0002301695     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00100-X     Document Type: Article

References (27)

1. A survey of weak and strong moment problems with generalizations
2. High-Temperature Series Expansions for the Spin-½ Heisenberg Model by the Method of Irreducible Representations of the Symmetric Group
3. Para-orthogonal Laurent polynomials and associated sequences of rational functions
4. Padé-type Approximants and General Orthogonal Polynomials
5. Orthogonal rational functions and quadrature on the unit circle
6. Two-point Padé-type approximants for Stieltjes functions
7. Approximation de type-Padé en deux points
8. Polynômes Orthogonaux Formels — Applications
9. On certain applications of the two-point Padé-type approximants with a single pole
10. Two-point partial Padé approximants
11. Convergence of two-point Padé approximants to series of Stieltjes
12. Optimization of two-point Padé-type approximants
13. Two-point Padé expansions for a family of analytic functions
14. Two-point Padé tables and $T$-fractions
15. Orthogonal Laurent polynomials and Gaussian quadrature
16. A strong Stieltjes moment problem
17. Survey of multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of orthogonal polynomials
18. Rate of convergence of two-point Pad� approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
19. On the structure of the two-point Padé table
20. A formal extension of the Padé table to include two-point Padé quotients
21. The theory of sequences of orthogonal L-polynomials
22. Some aspects of the two-point Padé approximants
23. Some properties of continued fractions $1 + d_0 z + K\left( {{z \mathord{\left/ {\vphantom {z {\left( {1 + d_n z} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {1 + d_n z} \right)}}} \right)$
24. Two-point Padé approximants for formal Stieltjes series
25. Quadrature formulas based on rational interpolation