Prediction Properties of the t -Transformation
Avram Sidi, David I. W. Levin · SIAM Journal on Numerical Analysis · 1983
Some prediction properties of the t-transformation of Levin are analyzed for two kinds of limiting processes. It is shown under certain circumstances that when the t-transformation is applied to a power series, the coefficients of the Maclaurin series of the rational approximation obtained approximate those of the given series with increasing accuracy. Theoretical and numerical examples are appended.