Add to ORKGThe paper presents three modifications of the Aitken accelerator for slowly or irregularly convergent sequences. The first proposal, based on backward extension of a sequence, is particularly useful if a small number of regular sequence terms is known. The next two procedures - integral exponential and hyperbolic - can be applied to sequences with irregular or disturbed convergence. Numerical examples show essential error reduction of the limit of sequences under consideration
AbstractLet (Sn) be some real sequence defined as Sn+1=⨍(Sn for∈N,where ⨍(x)=x+∑i⩾1αp+i(x−S)p+i, wit...
In this paper, we trace back the genesis of Aitken\u2019s \u3942 process and Shanks\u2019 sequence t...
Extrapolation methods to accelerate convergence of a sequence of iterates are in-vestigated. A trans...
The paper presents three modifications of the Aitken accelerator for slowly or irregularly c...
When a sequence or an iterative process is slowly converging, a convergence acceleration process has...
AbstractA sequence to sequence transformation, called the Δ2 process by its developer Aitken, and re...
Aitken’s $ \Delta ^2 $ method is used to accelerate convergence of sequences, e.g. sequences obtaine...
The paper is a continuation and elaboration of the subject of [5], which investigated the applicatio...
AbstractLet (xn) be some sequence generated by xn+1 = ƒ(xn) where ƒ(x)=(x) + ∑i ⩾ 1α p+1xp+i, p ⩾ 1,...
In this paper, we construct several sequence transformations whose kernels contain sequences of the ...
This thesis is a study of quadratic approximation and its application to the acceleration of slowly ...
AbstractThe aim of this paper is to present a review of the most significant results obtained the pa...
AbstractIn this paper, new procedures for the extrapolation to the limit of slowly convergent sequen...
AbstractQuite often in application, logarithmically convergent series have to be evaluated. There ar...
We discuss Levin-type sequence transformations fsng ! fs0 ng that depend linearly on the sequence el...
AbstractLet (Sn) be some real sequence defined as Sn+1=⨍(Sn for∈N,where ⨍(x)=x+∑i⩾1αp+i(x−S)p+i, wit...
In this paper, we trace back the genesis of Aitken\u2019s \u3942 process and Shanks\u2019 sequence t...
Extrapolation methods to accelerate convergence of a sequence of iterates are in-vestigated. A trans...
The paper presents three modifications of the Aitken accelerator for slowly or irregularly c...
When a sequence or an iterative process is slowly converging, a convergence acceleration process has...
AbstractA sequence to sequence transformation, called the Δ2 process by its developer Aitken, and re...
Aitken’s $ \Delta ^2 $ method is used to accelerate convergence of sequences, e.g. sequences obtaine...
The paper is a continuation and elaboration of the subject of [5], which investigated the applicatio...
AbstractLet (xn) be some sequence generated by xn+1 = ƒ(xn) where ƒ(x)=(x) + ∑i ⩾ 1α p+1xp+i, p ⩾ 1,...
In this paper, we construct several sequence transformations whose kernels contain sequences of the ...
This thesis is a study of quadratic approximation and its application to the acceleration of slowly ...
AbstractThe aim of this paper is to present a review of the most significant results obtained the pa...
AbstractIn this paper, new procedures for the extrapolation to the limit of slowly convergent sequen...
AbstractQuite often in application, logarithmically convergent series have to be evaluated. There ar...
We discuss Levin-type sequence transformations fsng ! fs0 ng that depend linearly on the sequence el...
AbstractLet (Sn) be some real sequence defined as Sn+1=⨍(Sn for∈N,where ⨍(x)=x+∑i⩾1αp+i(x−S)p+i, wit...
In this paper, we trace back the genesis of Aitken\u2019s \u3942 process and Shanks\u2019 sequence t...
Extrapolation methods to accelerate convergence of a sequence of iterates are in-vestigated. A trans...