Orthogonal rational functions and quadrature on an interval

Journal of Computational and Applied Mathematics

Volumn 153, Issue 1-2, 2003, Pages 487-495

  Van Deun, J ^a   Bultheel, A ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Orthogonal rational functions; Quadratic eigenvalue problem; Quadrature

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; POLYNOMIALS;

ORTHOGONAL RATIONAL FUNCTIONS;

COMPUTATIONAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 0037381172     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00598-8     Document Type: Article

References (5)

1. A. Bultheel, P. González-Vera, E. Hendriksen, O. Njástad, 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 tridiagonal matrices, in: Proceedings of the Sixth International Symposium on Orthogonal Polynomials, Special Functions and their Applications, Roma, June 2001.
3. N.J. Higham, H.-M Kim, Numerical analysis of a quadratic matrix equation. IMA J. Numer. Anal. 20 (2000) 499-519.
4. F. Tisseur, K. Meerbergen, The quadratic eigenvalue problem. SIAM Rev. 43(2) (2001) 235-286.
5. J. Van Deun, A. Bultheel, Orthogonal rational functions on an interval and quadrature, Technical Report TW322, Department of Computer Science, KULeuven, March 2001. http://www.cs.kuleuven.ac.be/publicaties/rapporten/tw/TW322.abs.html