| Title:
|
Alternating iterative scheme for the solution of block-structured systems (English) |
| Author:
|
Šípek, Jan |
| Author:
|
Zítko, Jan |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Dolní Maxov, June 6-11, 2004 |
| Issue:
|
2004 |
| Year:
|
|
| Pages:
|
214-229 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider the solution of linear system with a block-structured matrix of saddle point type. The solution technique is based on the idea of the classical
alternating-direction implicit iterative method where symmetric-antisymmetric
splitting of the coefficient matrix is used. To find an optimal parameter for
solving the system with a symmetric matrix, the polynomial filters are considered. The CGW method is used for systems with skew-symmetric matrix. The numerical tests compare the results obtained by using alternating iteration and GMRES and point out advantages of alternative iterations for larger systems. () |
| . |
| Date available:
|
2015-09-08T11:18:33Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702799 |
| . |