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Modified Chebyshev algorithm: some applications
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Original Paper
Modified Chebyshev algorithm: some applications
E. X. L. de Andrade1 and A. Sri Ranga1 
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DCCE, IBILCE, UNESP – Universidade Estadual Paulista, Rua Cristóvão Colombo, 2265, 15054-000 São José do Rio Preto, SP, Brazil |
Received: 10 March 2006 Accepted: 27 November 2006 Published online: 30 January 2007
Abstract Two applications of the modified Chebyshev algorithm are considered. The first application deals with the generation of orthogonal
polynomials associated with a weight function having singularities on or near the end points of the interval of orthogonality.
The other application involves the generation of real Szegő polynomials.
Keywords orthogonal polynomials - three term recurrence relations - Szegő polynomials
Mathematics Subject Classifications (2000) 65D20 - 33C45
This research is supported by grants from CNPq and FAPESP.
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