Treffer: The computation of orthogonal rational functions on an interval
Title:
The computation of orthogonal rational functions on an interval
Authors:
Source:
Journal of Computational and Applied Mathematics. 179:355-373
Publisher Information:
Elsevier BV, 2005.
Publication Year:
2005
Subject Terms:
numerical examples, Computational Mathematics, Computation of special functions and constants, construction of tables, recurrence coefficients, Quadrature, Applied Mathematics, Orthogonal rational functions, Other special orthogonal polynomials and functions, error bounds, Numerical approximation and evaluation of special functions, 0101 mathematics, 01 natural sciences
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0377-0427
DOI:
10.1016/j.cam.2004.09.050
Access URL:
https://zbmath.org/2173205
https://doi.org/10.1016/j.cam.2004.09.050
https://www.sciencedirect.com/science/article/pii/S0377042704004595
https://www.sciencedirect.com/science/article/abs/pii/S0377042704004595
https://core.ac.uk/display/82499393
http://ui.adsabs.harvard.edu/abs/2005JCoAM.179..355V/abstract
https://doi.org/10.1016/j.cam.2004.09.050
https://www.sciencedirect.com/science/article/pii/S0377042704004595
https://www.sciencedirect.com/science/article/abs/pii/S0377042704004595
https://core.ac.uk/display/82499393
http://ui.adsabs.harvard.edu/abs/2005JCoAM.179..355V/abstract
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....b04f54051a0f8dc9fede853963b84cf7
Database:
OpenAIRE
Weitere Informationen
The aim of this paper is to investigate the accurate computation of the recurrence coefficients for arbitrary high degree orthogonal rational functions. Error bounds are derived to estimate the accuracy of the computed coefficients and several numerical examples are given as an illustration. Some asymptotic results are used to derive these computable error bounds. The authors also prove a density result for these functions.