| Title:
|
An approximate method for determination of eigenvalues and eigenvectors of self-adjoint operators (English) |
| Author:
|
Kolomý, Josef |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
106 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
243-255 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49R50 |
| idZBL:
|
Zbl 0468.49024 |
| idMR:
|
MR629723 |
| DOI:
|
10.21136/CPM.1981.118098 |
| . |
| Date available:
|
2009-09-23T09:10:01Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118098 |
| . |
| Reference:
|
[1] J. Kolomý: Approximate determination of eigenvalues and eigenvectors of self-adjoint operators.Ann, Pol, Math. 38 (1980), 153-158. MR 0599239 |
| Reference:
|
[2] J. Kolomý: On determination of eigenvalues and eigenvectors of self-adjoint operators.Apl. mat. 26 (1981), 161-170. MR 0615603 |
| Reference:
|
[3] J. Kolomý: Determination of eigenvalues and eigenvectors of self-adjoint operators.Mathematica 22 (1980), 53-58. MR 0618027 |
| Reference:
|
[4] М. А. Красносельский, другие: Приближенное ршение операторных уравнений.Изд. Наука, Москва, 1969. Zbl 1149.62317 |
| Reference:
|
[5] I. Marek: Iterations of linear bounded operators in nonself-adjoint eigenvalue problems and Kellog's iteration process.Czech. Math. J. 12 (1962), 536-554. MR 0149297 |
| Reference:
|
[6] W. V. Petryshyn: On the eigenvalue problem $T(u) - \lambda S(u) = 0$ with unbounded and symmetric operators $T$ and $S$.Phil. Trans. Royal Soc. London Ser. A, Math. Phys. Sci., No 1130, Vol. 262 (1968), 413-458. MR 0222697 |
| Reference:
|
[7] V. Pták J. Zemánek: Continuity Lipschitzienne du spectre comme function d'un operateur normal.Comment. Math. Univ. Carolinae 17 (1976), 507-512. MR 0493433 |
| Reference:
|
[8] В. П. Пугачев: О двух приемах приближенного вычисления собственных значений и сообственных векторов.Докл. акад. СССР, 110 (1956), 334-337. Zbl 0995.90522, MR 0084182 |
| Reference:
|
[9] Б. П. Пугачев: Исследование одного метода приближенного вычисления собственных чисел и сообственных векторов.Труды сем. по функц. анал. Воронеж, T. 4 (1960), 81-97. Zbl 1004.90500 |
| Reference:
|
[10] F. Riesz B. Sz.-Nagy: Lesons d'analyse fonctionnelle.Ac. Sci. de Hongrif, Budapest, 1953. |
| Reference:
|
[11] Wang Jin-ru: A gradient method for finding the eigenvalues and eigenvectors of a self-adjoint operator.Acta Math. Sinica 13 (1963), 23-28 (Chinese Math. Acta 4 (1963), 24-30). MR 0163431 |
| Reference:
|
[12] K. Yosida: Functional Analysis.Springer-Verlag, Berlin, 1965. Zbl 0126.11504 |
| . |
