Convergence acceleration of linear iterative processes in Banach spaces

Zdislav Kovářík

Aplikace matematiky (1966)

  • Volume: 11, Issue: 4, page 266-270
  • ISSN: 0862-7940


The convergence of the sequence x n + 1 = A x n + b to ( l - A ) - 1 b (where x n , b are vectors in Banach space, A is a bounded linear operator with bounded ( l - A ) - 1 ) can be accelerated by constructing certain linear combinations of several ordinary successive approximations. A sufficient condition is that the spectrum of A decompose into a finite set and a subset of a sufficiently small neighborhood of zero (e. g., A is compact).

How to cite


Kovářík, Zdislav. "Zrychlování konvergence lineárních iteračních procesů v Banachových prostorech." Aplikace matematiky 11.4 (1966): 266-270. <>.

author = {Kovářík, Zdislav},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {cze},
number = {4},
pages = {266-270},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Zrychlování konvergence lineárních iteračních procesů v Banachových prostorech},
url = {},
volume = {11},
year = {1966},

AU - Kovářík, Zdislav
TI - Zrychlování konvergence lineárních iteračních procesů v Banachových prostorech
JO - Aplikace matematiky
PY - 1966
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 11
IS - 4
SP - 266
EP - 270
LA - cze
KW - numerical analysis
UR -
ER -


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  2. И. С. Березин H. П. Жидков, Методы вычислений, т. II;, ФИЗМАТГИЗ, Москва 1962. (1962) Zbl0285.34022
  3. H. Данфорд, Дж. Шварц, Линейные операторы, (общая теория); ИИЛ, Москва 1962 (перевод с английского). (1962) Zbl1005.68507

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