An interpolation algorithm for orthogonal rational functions

Journal of Computational and Applied Mathematics

Volumn 164-165, Issue , 2004, Pages 749-762

  Van Deun, J ^a   Bultheel, A ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Interpolation; Orthogonal polynomials; Orthogonal rational functions; Three term recurrence

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; FUNCTIONS; INTERPOLATION; MATHEMATICAL MODELS;

INTERPOLATION ALGORITHMS; ORTHOGONAL RATIONAL FUNCTIONS;

MATHEMATICAL TECHNIQUES;

MATHEMATICAL METHOD;

EID: 1442314107     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00493-X     Document Type: Article

References (8)

1. A. Bultheel, P. González-Vera, E. Hendriksen, O. Njåstad, Orthogonal Rational Functions, Cambridge Monographs on Applied and Computational Mathematics, Vol. 5, Cambridge University Press, Cambridge, 1999.
2. A. Bultheel, P. González-Vera, E. Hendriksen, O. Njåstad, Orthogonal rational functions and continued fractions, in: J. Bustoz, M. Ismail, S. Suslov (Eds.), Special Functions 2000: Current Perspective and Future Directions, Vol. 30, Ser. II, Mathematics, Physics and Chemistry, Kluwer, Dordrecht, 2001, pp. 87-109.
3. J. Van Deun, A. Bultheel, Ratio asymptotics for orthogonal rational functions on an interval, J. Approx. Theory, 2003, to appear.
4. J. Van Deun, A. Bultheel, The computation of orthogonal rational functions on an interval, 2003, in preparation.
5. Gautschi W. On generating orthogonal polynomials SIAM J. Statist. Sci. Comput. 3 1982 289-317
6. P. Henrici, Applied and Computational Complex Analysis, Special Functions, Integral Transforms, Asymptotics, Continued Fractions, Vol. 2, Wiley, New York, 1977.
7. Njåstad O. A modified Schur algorithm and an extended Hamburger moment problem Trans. Amer. Math. Soc. 327 1991 283-311
8. Rudin W. Real and Complex Analysis 3rd Edition 1987 McGraw-Hill New York