Orthogonal rational functions and modified approximants

Numerical Algorithms

Volumn 11, Issue 1, 1996, Pages 57-69

  Bultheel, A ^a   Gonzalez Vera P ^b   Hendriksen, E ^c   Njastad O ^d  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSIDAD DE LA LAGUNA   (Spain)

^c UNIVERSITY OF AMSTERDAM   (Netherlands)

^d NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Associated functions; Hermitian inner product; Moment problem; Orthogonal rational functions; Positive definite

Indexed keywords

EID: 21344444032     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02142488     Document Type: Article

References (6)

1. A. Bultheel, P. González-Vera, E. Hendriksen and O. Njåstad, A Szego theory for rational functions, Report TW 131, Department of Computer Science, K.U. Leuven (May 1990).
2. A. Bultheel, P. González-Vera, E. Hendriksen and O. Njåstad, Recurrence relations for orthogonal functions, in: Continued Fractions and Orthogonal Functions, eds S.C. Cooper and W.B. Thron, Lecture Notes in Mathematics 154 (Marcel Dekker, New York, 1993) pp. 23-46.
3. A. Bultheel, P. González-Vera, E. Hendriksen and O. Njåstad, Moment problems and orthogonal functions, J. Comp. Appl. Math. 48 (1993) 49-68.
4. A. Bultheel, P. González-Vera, E. Hendriksen and O. Njåstad, Asymptotics for orthogonal rational functions, Trans. Amer. Math. Soc. 346 (1994) 331-340.
5. A. Bultheel, P. González-Vera, E. Hendriksen and O. Njåstad, Quadrature formulas on the unit circle based on rational functions, J. Comp. Appl. Math. 50 (1994) 159-170.
6. W.B. Jones, O. Njåstad and W.J. Thron, Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle, Bull. London Math. Soc. 21 (1989) 113-152.