Title:
|
Odhad chyby zaokrouhlování při lineárních iteračních procesech, zejména při Seidelově řešení Dirichletova problému pro čtverec $10\times10$ (Czech) |
Title:
|
Estimate of rounding error in linear iterative processes, in particular for Seidel-type solution of the Dirichlet problem on the square $10\times10$ (English) |
Title:
|
Estimation de l'erreur due á l'arrondissement dans les processus itératifs linéaires, en particulier dans le procédé de Seidel pour la solution du problème de Dirichlet dans le carré $10\times10$ (French) |
Author:
|
Fabian, Václav |
Language:
|
Czech |
Journal:
|
Aplikace matematiky |
ISSN:
|
0373-6725 |
Volume:
|
3 |
Issue:
|
1 |
Year:
|
1958 |
Pages:
|
22-44 |
Summary lang:
|
French |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
Keyword:
|
numerical analysis |
MSC:
|
65-80 |
idZBL:
|
Zbl 0084.11403 |
idMR:
|
MR0128053 |
DOI:
|
10.21136/AM.1958.102600 |
. |
Date available:
|
2008-05-20T17:10:06Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102600 |
. |
Reference:
|
[1] Абрамов: О влиянии ошибок округления при решении уравнения Дапласса.Вычислительная математика и вычислительная техника. Сб. 1 АН СССР, Москва 1953. Zbl 1151.94459 |
Reference:
|
[2] Ch. Blanc W. Liniger: Erreurs de chute dans la résolution de systèmes algébriques linéaires.Com. Math. Helvetici 30, Fasc. 4. 257-264. MR 0078042, 10.1007/BF02564345 |
Reference:
|
[3] Václav Fabian: Zufälliges Abrunden und die Konvergenz des linearen (Seidelschen) Iterationverfahrens.Mathematische Nachrichten. |
Reference:
|
[4] Václav Fabian: L'influence d'arrondissement aux évaluations numériques linéaires.Czech. Math. J. 8 (83), 1958, No 2. MR 0135230 |
Reference:
|
[5] G. E. Forsythe: Note on rounding-off errors.Nat. Bur. Stand. Los Angeles, Calif., 3 pp. (1950). MR 0037068 |
Reference:
|
[6] J. Francl: A propos des tables de logarithme.Vierteljahrschrift der Naturforschenden Gesellschaft in Zürich (1917), 62, s. 286. |
Reference:
|
[7] Harry D. Huskey: On the Precision of a certain Procedure of Numerical Integration.J. Research Nat. Bur. Stand. 42 (1949), 57-62. MR 0032215, 10.6028/jres.042.005 |
Reference:
|
[8] M. G. Kendall: The Advanced Theory of Statistics.London 1945. MR 0010934 |
Reference:
|
[9] J. von Neumann H. H. Goldstine: Numerical Inverting of Matrices of High Order.Bull. Amer. Math. Soc. 53, No 11 (1947), 1021-1099. MR 0024235 |
Reference:
|
[10] : .Journal of the American Statistical Association, 48 (1953), str. 107 a další. Zbl 1151.94459 |
Reference:
|
[11] M. G. Kendall B. Babington Smith: Tables of Random Sampling Numbers.Tracts for computers, No 24, 1940. |
Reference:
|
[12] L. H. C. Tipett: Random Sampling Numbers.Tracts for computers, No 15, 1927. |
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