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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

The condition of orthogonal polynomials


Author: Walter Gautschi
Journal: Math. Comp. 26 (1972), 923-924
MSC: Primary 33A65
MathSciNet review: 0313558
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Abstract: An estimate is given for the condition number of the coordinate map associating to each polynomial its coefficients with respect to a system of orthogonal polynomials.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1972-0313558-9
Keywords: Orthogonal polynomials, parametrization, conditioning, Chebyshev polynomials, Legendre polynomials
Article copyright: © Copyright 1972 American Mathematical Society