| Title:
|
Improving the convergence of iterative methods (English) |
| Author:
|
Zítko, Jan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
28 |
| Issue:
|
3 |
| Year:
|
1983 |
| Pages:
|
215-229 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
The author considers the operator equation $x=Tx+b$. Methods for acceleration of convergence of the iterative process $x_{n+1)}=Tx_n+b$ are investigated. (English) |
| Keyword:
|
method of successive approximations |
| Keyword:
|
acceleration of convergence |
| Keyword:
|
Hilbert space |
| Keyword:
|
iterative process |
| Keyword:
|
extrapolation procedure |
| MSC:
|
47A50 |
| MSC:
|
65B99 |
| MSC:
|
65J10 |
| idZBL:
|
Zbl 0528.65029 |
| idMR:
|
MR0701740 |
| DOI:
|
10.21136/AM.1983.104028 |
| . |
| Date available:
|
2008-05-20T18:22:16Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104028 |
| . |
| Reference:
|
[1] G. Maess: Extrapolation bei Iterationsverfahren.ZAMM 56 (1976), 121 - 122. MR 0426417, 10.1002/zamm.19760560210 |
| Reference:
|
[2] G. Maess: Iterative Lösung linearer Gleichungssysteme.Deutsche Akademie der Naturforscher Leopoldina Halle (Saale), 1979. Zbl 0416.65029, MR 0558164 |
| Reference:
|
[3] I. Marek J. Zítko: Ljusternik Acceleration and the Extrapolated S.O.R. Method.Apl. mat. 22 (1977), 116-133. MR 0431667 |
| Reference:
|
[4] A. E. Taylor: Introduction to Functional Analysis.J. Wiley Publ. New York 1958. Zbl 0081.10202, MR 0098966 |
| Reference:
|
[5] D. M. Young: Iterative Solution of Large Linear Systems.Academic Press, New York-London 1971. Zbl 0231.65034, MR 0305568 |
| . |
