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
Convergence of Rational Interpolants with Preassigned Poles
β Scribed by S. J. Gardiner
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 55 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0176-4276
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π SIMILAR VOLUMES
Let be a finite positive Borel measure whose support S is a compact Ε½ . Ε½ . Ε½ regular set contained in β«.ήβ¬ For a function of Markov type z s H d x r z ΛSΕ½ . . Ε½ . Ε½ . y x , z g β«ήβ¬ \_ S , we consider multipoint Pade-type approximants MPTAs , αΊhere some poles are preassigned and interpolation is ca
We give a generic algorithm for computing rational interpolants with prescribed poles. The resulting rational function is expressed in the so-called Newton form. State space realizations for this expression of rational functions are given. Our main tool for ΓΏnding state space realizations is Fuhrman