| Title:
|
On iterative methods of higher order for systems of linear algebraic equations (English) |
| Title:
|
Über die Iterationsverfahren von höherer Ordnung für lineare algebraische Gleichungssysteme (German) |
| Author:
|
Šisler, Miroslav |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
287-298 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is concerned with certain $k$-degree iterative methods for the solution of linear algebraic systems. The successive approximation $x_{\nu +1}$ is determined by means of approximations $x_\nu $, $x_{\nu -1}$, $\dots $, $x_{\nu -k+1}$. In this article to each iterative method of the first degree some $k$-degree iterative method is found in order to accelerate the convergence of the intial method. (English) |
| Keyword:
|
linear system |
| Keyword:
|
iterative method |
| Keyword:
|
convergence acceleration of convergence |
| MSC:
|
65F10 |
| idZBL:
|
Zbl 0818.65019 |
| idMR:
|
MR1284102 |
| DOI:
|
10.21136/AM.1994.134258 |
| . |
| Date available:
|
2009-09-22T17:44:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134258 |
| . |
| Reference:
|
[1] D. M. Young: Iterative Solution of large Systems.Academia Press, New York and London, 1971. MR 0305568 |
| . |
