| Title:
|
Řešení částečného problému vlastních čísel v Banachových prostorech vícestupňovou mocninnou metodou (Czech) |
| Title:
|
On solving partial eigenproblems in a Banach space by gradual power method (English) |
| Author:
|
Kovářík, Zdislav |
| Language:
|
Czech |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
12 |
| Issue:
|
3 |
| Year:
|
1967 |
| Pages:
|
153-160 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper a natural generalization of the gradual power method, known in matrix algebra, is given. It is an iterative process whose result is a basis of an invariant subspace of a given bounded linear operator $A$, and a matrix operator induced on this subspace. This process is shown to be contractive in certain metric, and can be used e.g. for compact operators. (English) |
| Keyword:
|
functional analysis |
| MSC:
|
47-30 |
| idZBL:
|
Zbl 0152.13903 |
| idMR:
|
MR0223919 |
| DOI:
|
10.21136/AM.1967.103085 |
| . |
| Date available:
|
2008-05-20T17:38:31Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103085 |
| . |
| Reference:
|
[1] D. K. Faddějev F. N. Faddějeva: Numerické metody lineární algebry.(přeloženo z ruštiny). Praha 1964. |
| Reference:
|
[2] Ж. Дъедонне: Основы современного анализа.(перев. с английского). Москва 1964. Zbl 1117.65300 |
| Reference:
|
[3] H. Даифорд, Дж. T. Шварц: Линейные операторы, общая теория.(перев. с английского). Москва 1964. Zbl 1117.65300 |
| Reference:
|
[4] M. Л. Красносельский: Положительные решения операторных уравнений.Москва 1962. Zbl 1005.68507 |
| . |
