Generalizations of Aitken's process for accelerating the convergence of sequences
AUTOR(ES)
Brezinski, Claude, Redivo Zaglia, Michela
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2007
RESUMO
When a sequence or an iterative process is slowly converging, a convergence acceleration process has to be used. It consists in transforming the slowly converging sequence into a new one which, under some assumptions, converges faster to the same limit. In this paper, new scalar sequence transformations having a kernel (the set of sequences transformed into a constant sequence) generalizing the kernel of the Aitken's delta2 process are constructed. Then, these transformations are extended to vector sequences. They also lead to new fixed point methods which are studied.
Documentos Relacionados
- The accelerating convergence of genomics and microbiology
- The rates in complete moment convergence for negatively associated sequences
- THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
- UNIFORM CONVERGENCE OF MONOTONE SEQUENCES OF FUNCTIONS*
- THE NATURE OF AITKEN CONDENSATION NUCLEI IN THE ATMOSPHERE*