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- Lisa Lorentzen
- Numerical Algorithms
- 1995

Over the last 20 years a large number of algorithms has been published to improve the speed and domain of convergence of continued fractions. In this survey we show that these algorithms are strongly related. Actually, they essentially boil down to two main principles. We also prove some results on asymptotic expansions of tail values of limit periodic… (More)

- Lisa Lorentzen
- Journal of Approximation Theory
- 2015

- L Lorentzen, D S Lubinsky
- 2002

Let f be meromorphic in the plane and analytic at 0. Then its diagonal sequence {[n/n]},“, of Pad6 approximants need not converge pointwise. We ask whether by reducing the order of contact (or correspondence) of [n/n] with f at 0, namely 2n + 1 ,we can ensure locally uniform convergence. In particular, we show that there exist rational functions Rn of type… (More)

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