TY - JOUR
AU - Thukral, R.
PY - 2005
TI - Introduction to the New Type of Algorithms for Accelerating Convergence of Sequence
JF - Journal of Mathematics and Statistics
VL - 1
IS - 1
DO - 10.3844/jmssp.2005.15.23
UR - https://thescipub.com/abstract/jmssp.2005.15.23
AB - A collection of new algorithms for accelerating the convergence of sequence of functions
was described. The definitions and connections of these new algorithms with the improved functional
epsilon algorithms are given. The effectiveness of these new algorithms was examined, namely the α-algorithms, the β-algorithms, the γ-algorithms, the δ-algorithms and the improved functional epsilon
algorithms, for approximating solutions of a given power series. The estimates derived using the δ-algorithms are found to be substantially more accurate than other similar algorithms.