Previous |  Up |  Next

Article

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
.
Date available: 2008-05-20T17:39:47Z
Last updated: 2015-08-21
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.
.

Files

Files Size Format View
AplMat_12-1967-5_2.pdf 2.595Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo