Abstract
In a Clenshaw-type evaluation scheme for polynomials in several variables, the intermediate results, called Clenshaw-sums, should grow very slowly with the dimension of the polynomials space in request in order to have the scheme numerically stable. In some concrete cases, the rate of growth of the Clenshaw sums is estimated. A most favorable rate of growth can be observed if the scheme is based on multivariate Cebyshev polynomials of the second kind.
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© 1977 Springer-Verlag Berlin · Heidelberg
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Reimer, M. (1977). Clenshaw sums in several variables. In: Schempp, W., Zeller, K. (eds) Constructive Theory of Functions of Several Variables. Lecture Notes in Mathematics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086573
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DOI: https://doi.org/10.1007/BFb0086573
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