| Title:
|
Pivoting algorithm in class of ABS methods (English) |
| Author:
|
Kálnová, Gabriela |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
167-180 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced. (English) |
| Keyword:
|
ABS methods |
| Keyword:
|
pivoting algorithm |
| Keyword:
|
Hankel matrix |
| Keyword:
|
linear equations |
| MSC:
|
65F05 |
| idZBL:
|
Zbl 0906.65028 |
| idMR:
|
MR1421854 |
| . |
| Date available:
|
2008-06-06T21:30:51Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107572 |
| . |
| Reference:
|
[1] Abaffy, J., Broyden, C.G., Spedicato, E.: A class of direct methods for linear equations.Numer.Math. 45 (1984), 361–376. MR 0769246 |
| Reference:
|
[2] Abaffy, J., Spedicato, E.: ABS projection algorithms mathematical techniques for linear and nonlinear equations.Ellis Horwood, Chichester, 1989. MR 1015928 |
| Reference:
|
[3] Bodon, E.: Numerical experiments with ABS algorithms on upper banded systems of linear equations.(1992), Quaderno DMSIA 17/92, University of Bergamo. |
| Reference:
|
[4] Bodon, E.: Numerical experiments with ABS algorithms on banded systems of linear equations.(1992), Quaderno DMSIA 18/92, University of Bergamo. |
| Reference:
|
[5] Bodon, E.: Numerical experiments with Gauss-ABS algorithms on tridiagonal systems of linear equations.(1992), Quaderno DMSIA 31/92, University of Bergamo. |
| Reference:
|
[6] Bodon, E., Spedicato, E.: Numerical evaluation of the implicit LU, LQ and QU algorithms in the ABS class.(1992), Quaderno DMSIA 28/90, University of Bergamo. |
| Reference:
|
[7] Deng, N., Vespucci, M.T.: Experiments with the ABS implici t Gauss-Cholesky algorithm on nested dissection matrices.(1991), Technical Report 1/69, Roma. |
| Reference:
|
[8] Golub, G.H., Van Loan, Ch.F.: Matrix computation.The Johns Hopkins University Press, Baltimore and London, 1989. |
| Reference:
|
[9] Phua, K. H.: Solving sparse linear systems by an ABS-metho d that corresponds to LU-decomposition.BIT 28 (1988), 709–718. MR 0963312 |
| Reference:
|
[10] Rissanen, J.: Solution of linear equations with Hankel an d Toeplitz matrices.Numer.Math. 22 (1974), 361–366. MR 0351057 |
| . |
