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Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane

✍ Scribed by Le Bailly, B.; Thiran, J. P.

Book ID
118191259
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
192 KB
Volume
38
Category
Article
ISSN
0036-1429

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The Distribution of Zeros and Poles of A
The Distribution of Zeros and Poles of Asymptotically Extremal Rational Functions for Zolotarev's Problem
✍ A.L Levin; E.B Saff πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 161 KB

We investigate the possible limit distributions of zeros and poles associated with ray sequences of rational functions that are asymptotically optimal for weighted Zolotarev problems. For disjoint compacta E 1 , E 2 in the complex plane, the Zolotarev problem entails minimizing the ratio of the sup