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Recently, the author proposed a new nonlinear sequence transformation, the iterative J transformation , which was shown to provide excellent results in several applications H. applications of nonlinear convergence accelerators, Int. the present contribution, this sequence transformation is derived by a hierarchically consistent iteration of some basic… (More)

The stability of a large class of nonlinear sequence transformations is analyzed. of the convergence behavior of the J transformation. Similar to recent results of Sidi, it is proved that the pJ transformations , the Weniger S transformation, the Levin transformation and a special case of the Generalized Richardson Extrapolation Process of Sidi are… (More)

We derive the I transformation, an iterative sequence transformation that is useful for the convergence acceleration of certain Fourier series. The derivation is based on the concept of hierarchical consistency in the asymptotic regime. We show that this sequence transformation is a special case of the J transformation. Thus, many properties of the I… (More)

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