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Nonlinear Sequence Transformations: Computational Tools for the Acceleration of Convergence and the Summation of Divergent Series
[article]

2001
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arXiv
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pre-print

Convergence problems occur abundantly in all branches of mathematics or in the mathematical treatment of the sciences. Sequence transformations are principal tools to overcome convergence problems of the kind. They accomplish this by converting a slowly converging or diverging input sequence {s_n }_n=0^∞ into another sequence {s^'_n }_n=0^∞ with hopefully better numerical properties. Padé approximants, which convert the partial sums of a power series to a doubly indexed sequence of rational

arXiv:math/0107080v1
fatcat:rsge4qizzvea7etakrbqq6kqje