10.2 Further Reading

For details on the underlying implementation of these functions please consult the GNU Scientific Library reference manual. The algorithms used by these functions are described Fessler et al. (1983). The theory of the $ u$ -transform was presented Levin in 1973, and a review paper from 2000 by Homeier is available online.

See Also:

T. Fessler, W. F. Ford, D. A. Smith, hurry: An acceleration algorithm for scalar sequences and series. ACM Transactions on Mathematical Software, 9(3):346-354, (1983), and Algorithm 602 9(3):355-357, 1983.

D. Levin, Development of Non-Linear Transformations for Improving Convergence of Sequences, Intern. J. Computer Math. B3:371-388, (1973).

Herbert H. H. Homeier, Scalar Levin-Type Sequence Transformations.