| Title:
|
On some new iterative methods for solving the eigenproblem of a linear operator (English) |
| Author:
|
Maršíková, Věra |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
12 |
| Issue:
|
5 |
| Year:
|
1967 |
| Pages:
|
331-350 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A survey of simple iterative processes is given with theorems and conditions for their convergence. A comparison is shown on several examples of linear integral operators. The results are presented in tables and figures. (English) |
| Keyword:
|
numerical analysis |
| MSC:
|
65-40 |
| idZBL:
|
Zbl 0189.16202 |
| idMR:
|
MR0224271 |
| DOI:
|
10.21136/AM.1967.103111 |
| . |
| Date available:
|
2008-05-20T17:39:47Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103111 |
| . |
| Reference:
|
[1] И. А. Биргер: Некоторые математические решения инженерных задач.Оборонгиз, Москва 1956. Zbl 0995.90522 |
| Reference:
|
[2] H. F. Bückner: An iterative method for solving non-linear integral equations.PIIC Symposium, Rome 1960, 614-643. |
| Reference:
|
[3] Канторович-Акилов: Функциональный анализ в нормированных пространствах.Физматтиз 1959, 541-554. Zbl 1047.90504 |
| Reference:
|
[4] J. Kolomý: On convergence of the iterative methods.Comment. Math. Univ. Carol. 1, fasc. 3 (1960), 18-24. |
| Reference:
|
[5] J. Kolomý: On the solution of homogenous functional equations in Hilbert space.Comment. Math. Univ. Carol. 3, fasc. 4 (1962), 36-47. MR 0149306 |
| Reference:
|
[6] J. Kolomý: Determination of eigenvalues and eigenfunctions of bounded self-adjoint operators.Comment. Math. Univ. Carolinae 6, fasc. 3 (1965), 387 - 392. MR 0198243 |
| Reference:
|
[7] J. Kolomý: A note on determination of eigenvalues and eigenfunctions of bounded selfadjoint operators.Comment. Math. Univ. Carol. 7 (1966), fasc. 4, 521-526. MR 0218008 |
| Reference:
|
[8] I. Marek: Iterations of linear bounded operators and Kellogg's iterations in non-self adjoint eigenvalue problems.Czech. Math. Journ. 12 (1962), 536-554. MR 0149297 |
| Reference:
|
[9] I. Marek: Kellogg's iterations with minimizing parameters.Comment. Math. Univ. Carol. 4, fasc. 2 (1963), 53-64. Zbl 0138.39302, MR 0172459 |
| Reference:
|
[10] I. Marek: Об одном методе ускорения сводимости итерационных процессов.Журнал выч. мат. и мат. физики 2 (1962), 963 - 971. Zbl 0196.44903, MR 0152112 |
| Reference:
|
[11] V. Maršíková: Über neue iterative Methoden im Eigenwertproblem eines beschränkten linearen Operators.Apl. Mat. 10 (1965), 279 - 282. MR 0187367 |
| Reference:
|
[12] Michlin: Integrální rovnice.Kар. 2, odst. 16. |
| Reference:
|
[13] Riesz-Nagy: Лекции по функциональному анализу.Odst. 96. |
| . |
