| Title:
|
Multi-level method in eigenvalue problem (English) |
| Author:
|
Vaněk, Petr |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
259-267 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
One method for computing the least eigenvalue of a positive definite matrix $A$ of order $n$ is described. (English) |
| Keyword:
|
eigenvalue problem |
| Keyword:
|
multi-level method |
| Keyword:
|
least eigenvalue |
| Keyword:
|
power method |
| MSC:
|
65F10 |
| MSC:
|
65F15 |
| idZBL:
|
Zbl 0816.65018 |
| idMR:
|
MR1284100 |
| DOI:
|
10.21136/AM.1994.134256 |
| . |
| Date available:
|
2009-09-22T17:44:10Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134256 |
| . |
| Reference:
|
[lit1] Stoer J., Bulirsch R.: Introduction to Numerical Analysis.Springer Verlag, 1980. MR 0557543 |
| Reference:
|
[lit2] C. B. Moler, G. W. Stewart: An algorithm for generalized matrix eigenvalue problems.SIAM J. Numer. Anal. 10 (1973). MR 0345399, 10.1137/0710024 |
| Reference:
|
[lit3] W. Hackbusch: Multigrid methods and applications.Springer Verlag, 1985. MR 0814495 |
| Reference:
|
[lit4] P. Vaněk: Acceleration of algebraic multigrid method.Proceedings of the IX. Summer School SANM 91. |
| Reference:
|
[lit5] S. Míka, P. Vaněk: Modification of Two-level Algorithm with overcorrection.Appl. Math. 37 (1992), 13–28. MR 1152154 |
| Reference:
|
[lit6] P. Vaněk: Acceleration of two-level algorithm by smoothing transfer operators.Appl. Math. 37 (1992), 265–274. MR 1180605 |
| Reference:
|
[lit7] S. Míka, P. Vaněk: Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process.Appl. Math. 37 (1992), 243–356. MR 1175929 |
| . |
