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arxiv: 1307.4245 · v2 · pith:T74OIBKLnew · submitted 2013-07-16 · 🧮 math.NA · cs.NA

Barycentric Pad\'e approximation

classification 🧮 math.NA cs.NA
keywords barycentricalmostapproximantapproximationarbitrarilychosendependdifferent
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In this paper, we show how any Pad\'e approximant $[p/q]_f$ of a formal power series $f$ can be written under two different barycentric rational forms. These form depend on $p+q+1$ parameters which can be almost arbitrarily chosen.

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