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Some convergence acceleration processes for a class of vector sequences

100%

Sedogbo G. A.

Applicationes Mathematicae

1996-1997

tom 24

nr 3

299-306

Let $(S_n)$ be some vector sequence, converging to S, satisfying $S_n - S \sim ϱ ^n n^{θ}(β_0 + β_1 n^{-1} + β_2 n^{-2} + ...), 0 \lt |ϱ|\lt 1 , θ \lt 0$, where $β_0(\ne 0), β_1,...$ are constant vectors independent of n. The purpose of this paper is to provide acceleration methods for these vector sequences. Comparisons are made with some known algorithms. Numerical examples are also given.

Some results on convergence acceleration for the E-algorithm

80%

Fdil A.

Applicationes Mathematicae

1996-1997

tom 24

nr 4

393-413

Some new results on convergence acceleration for the E-algorithm which is a general extrapolation method are obtained. A technique for avoiding numerical instability is proposed. Some applications are given. Theoretical results are illustrated by numerical experiments

Convergence acceleration by the $E_{+p}$-algorithm

80%

Fdil A.

Applicationes Mathematicae

1998-1999

tom 25

nr 3

327-338

A new algorithm which generalizes the E-algorithm is presented. It is called the $E_{+p}$-algorithm. Some results on convergence acceleration for the $E_{+p}$-algorithm are proved. Some applications are given.

Ograniczanie wyników

3 Applicationes Mathematicae

2 Fdil A.

1 Sedogbo G. A.

1 1998

2 1997

Wyniki wyszukiwania

Some convergence acceleration processes for a class of vector sequences

Some results on convergence acceleration for the E-algorithm

Convergence acceleration by the $E_{+p}$-algorithm