Computation of Zolotarev rational functions
Abstract
An algorithm is presented to compute Zolotarev rational functions, that is, rational functions rn* of a given degree that are as small as possible on one set E⊂eq\∞\ relative to their size on another set F⊂eq\∞\ (the third Zolotarev problem). Along the way we also approximate the sign function relative to E and F (the fourth Zolotarev problem).
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