Rational interpolation with a single variable pole
β Scribed by J. M. Carnicer
- Publisher
- Springer US
- Year
- 1992
- Tongue
- English
- Weight
- 319 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1017-1398
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π SIMILAR VOLUMES
We study the following problem. Given a domain 0 containing infinity, is it possible to choose a sequence of polynomials Q n , n=1, 2, ..., where Q n has degree n, so that the following condition holds: if a function f is analytic in 0 and P n is the polynomial part of the Laurent expansion of Q n f
We introduce a method for calculating rational interpolants when some (but not necessarily all) of their poles are prescribed. The algorithm determines the weights in the barycentric representation of the rationals; it simply consists in multiplying each interpolated value by a certain number, compu