| Title:
|
Iterative solution of eigenvalue problems for normal operators (English) |
| Author:
|
Kojecký, Tomáš |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
158-161 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We will discuss Kellogg's iterations in eigenvalue problems for normal operators. A certain generalisation of the convergence theorem is shown. (English) |
| Keyword:
|
eigenvalue problem |
| Keyword:
|
normal operator |
| Keyword:
|
Kellogg's iteration |
| Keyword:
|
Hilbert space |
| Keyword:
|
eigenvector |
| MSC:
|
47A75 |
| MSC:
|
47B15 |
| MSC:
|
49G20 |
| MSC:
|
65J10 |
| idZBL:
|
Zbl 0708.65055 |
| idMR:
|
MR1042851 |
| DOI:
|
10.21136/AM.1990.104397 |
| . |
| Date available:
|
2008-05-20T18:38:53Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104397 |
| . |
| Reference:
|
[1] N. Dunford J. T. Schwartz: Linear operators.I(II), Mir, Moskva 1962 (1966). MR 0216303 |
| Reference:
|
[2] T. Kojecký: Some results about convergence of Kellogg's iterations in eigenvalue problems.Czechoslovak Math. J. (to appear). |
| Reference:
|
[3] J. Kolomý: Approximate determination of eigenvalues and eigenvectors of self-adjoint operators.Ann. Math. Pol. 38 (1980), 153-158. MR 0599239, 10.4064/ap-38-2-153-158 |
| Reference:
|
[4] I. Marek: Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process.Czechoslovak Math. J. 12 (1962), 536-554. Zbl 0192.23701, MR 0149297 |
| . |
