Sequence transformations
Journal of Computational and Applied Mathematics - Special issue on extrapolation and rational approximation
Journal of Computational and Applied Mathematics
Construction of extrapolation processes
Applied Numerical Mathematics
A derivation of extrapolation algorithms based on error estimates
Proceedings of the 6th international congress on Computational and applied mathematics
Convergence acceleration during the 20th century
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 vol. II: interpolation and extrapolation
Scalar Levin-type sequence transformations
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 vol. II: interpolation and extrapolation
The E-algorithm and the Ford-Sidi algorithm
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 vol. II: interpolation and extrapolation
Numerical Methods for Special Functions
Numerical Methods for Special Functions
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Practical Extrapolation Methods: Theory and Applications
Practical Extrapolation Methods: Theory and Applications
Acceleration of limit periodic continued fractions by the T+M transformation
Journal of Computational and Applied Mathematics
A generalization of the G-transformation and the related algorithms
Applied Numerical Mathematics
Extensions of Drummond's process for convergence acceleration
Applied Numerical Mathematics
SIAM Journal on Scientific Computing
Hi-index | 7.29 |
In this paper, new procedures for the extrapolation to the limit of slowly convergent sequences and functions are proposed. They are based on the notions of error estimates and annihilation operators. We obtain generalizations of the discrete and confluent E-transformation, which are the most general sequence and function transformations known so far. It is shown that many transformations studied in the literature are included in our formalism. Particular cases of these procedures are discussed. Then, several extensions of the E-algorithm are given. Finally, the procedure @Q is applied to our procedures to produce new procedures for extrapolation to the limit.