On interpolation by rational functions with prescribed poles with applications to multivariate interpolation
✍ Scribed by G. Mühlbach
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 895 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
Rational interpolants with prescribed poles are used to approximate holomorphic functions on the closure of their region of analyticity under natural assumptions of their properties on the boundary. The transfer functions of some infinite dimensional dynamical systems of interest in applications sat
From (1) it follows that y ( z ) has in zk a zero of order not less than vk . Since y ( z ) is holomorphic in the neighborhood of every point of %'K (including z = a), it follows from Hypothesis 6, that y ( z ) vanishes identically in VK. On the other hand, we have for large IzJ of 5. 1 We say tha
A fast and efficient adaptive sampling algorithm for multivariate, multiple output rational interpolation models is presented, which is based on convergents of Thiele type branched continued fractions. The multiple output interpolation model consists of a set of rational interpolants, and each inter