Evaluation of infinite series by use of continued fraction expansions: A numerical study
1980; Elsevier BV; Volume: 37; Issue: 2 Linguagem: Inglês
10.1016/0021-9991(80)90023-6
ISSN1090-2716
AutoresPeter Hänggi, F. Roesel, D. Trautmann,
Tópico(s)Iterative Methods for Nonlinear Equations
ResumoThe continued fraction method is applied to the summation of various types of series using a computer-oriented recursive algorithm for the calculation of continued fraction coefficients. For convergent as well as for formally divergent series, the continued fraction representation so obtained shows a marked improvement of the convergence behaviour compared with the corresponding series representation.
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