| Title:
|
The rate of convergence of a modified Newton's process (English) |
| Author:
|
Potra, Florian Alexandru |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
13-17 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Keyword:
|
method of nondiscrete mathematical induction |
| Keyword:
|
rate of convergence |
| Keyword:
|
Newton’s process |
| Keyword:
|
sharp error bounds |
| MSC:
|
47J25 |
| MSC:
|
58C15 |
| MSC:
|
65J15 |
| idZBL:
|
Zbl 0486.65039 |
| idMR:
|
MR0602398 |
| DOI:
|
10.21136/AM.1981.103890 |
| . |
| Date available:
|
2008-05-20T18:15:57Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103890 |
| . |
| Reference:
|
[1] M. Frechet: La notion de différentielle dans l'analyse générale.Ann. Ec. Norm. Sup., 42, (1925), 293-323. MR 1509268, 10.24033/asens.766 |
| Reference:
|
[2] Л. В. Канторович: Фунциональный анализ и прикладная математика.У. M. H., 3, 89-185 (1948). Zbl 1154.94303, MR 0027947 |
| Reference:
|
[3] Л. В. Канторович: О методе Ньютона.Труды Матем. Института Стеклова, 28, 104-144 (1949). Zbl 1152.51302, MR 0038560 |
| Reference:
|
[4] Л. В. Канторович Г. П. Акилов: Фунциональный анализ.Издание второе переработанное, Москва (1977). Zbl 1225.01071 |
| Reference:
|
[5] V. Pták: Nondiscrete mathematical induction and iterative existence proofs.Linear algebra and its applications 13 (1976), 223 - 238. MR 0394119 |
| Reference:
|
[6] V. Pták: The rate of convergence of Newton's process.Num. Math., 25 (І976), 279-285., Zbl 0304.65037, MR 0478587, 10.1007/BF01399416 |
| Reference:
|
[7] L. Schwartz: Analyse Mathématique.Herman, Paris, 1967. Zbl 0171.01301 |
| . |
