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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
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Category: math
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Keyword: numerical analysis
MSC: 65-80
idZBL: Zbl 0084.11403
idMR: MR0128053
DOI: 10.21136/AM.1958.102600
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Date available: 2008-05-20T17:10:06Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102600
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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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