| Title:
|
Numerische Abschätzung und Berechnung von Eigenwerten nichtsymmetrischer Matrizen (German) |
| Title:
|
Numerical estimate and calculation of eigenvalues for nonsymmetric matrices (English) |
| Author:
|
Bauer, Friedrich Ludwig |
| Language:
|
German |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
10 |
| Issue:
|
2 |
| Year:
|
1965 |
| Pages:
|
178-189 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
numerical analysis |
| MSC:
|
65-40 |
| idZBL:
|
Zbl 0156.16302 |
| idMR:
|
MR0181098 |
| DOI:
|
10.21136/AM.1965.102945 |
| . |
| Date available:
|
2008-05-20T17:28:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102945 |
| . |
| Reference:
|
[1] W. Givens: Numerical computation of the characteristic values of a real symmetric matrix.Oak Ridge National Laboratory, ORNL - 1574 (1954). Zbl 0055.35005, MR 0063771 |
| Reference:
|
[2] J. H. Wilkinson: Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection.Numer. Math. 4, 362-367 (1962). Zbl 0107.34306, MR 0148208, 10.1007/BF01386333 |
| Reference:
|
[3] F. L. Bauer: Das Verfahren der Treppeniteration und verwandte Verfahren zur Lösung algebraischer Eigenwertprobleme.Z. Angew. Math. Phys. 8, 214-235 (1957). Zbl 0078.12103, MR 0088049 |
| Reference:
|
[4] H. Rutishauser F. L. Bauer: Détermination des vecteurs propres d'une matrice par une méthode iterative avec convergence quadratique.Comptes Rendus 240, 1680 (1955). MR 0070269 |
| Reference:
|
[5] F. L. Bauer: Das Verfahren der abgekürzten Iteration.Z. Angew. Math. Phys. 7, 17 - 32 (1956). Zbl 0072.14101, MR 0079835 |
| Reference:
|
[6] F. L. Bauer C. T. Fike: Norms and exclusions theorems.Numer. Math. 2, 137-141 (1960). MR 0118729, 10.1007/BF01386217 |
| Reference:
|
[7] W. Prager W. Oettli: Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand side.Erscheint in Numer. Math. MR 0168106 |
| Reference:
|
[8] J. H. Wilkinson: Rounding errors in algebraic processes.Her Majesty's Stationary Office, London 1963. Zbl 1041.65502, MR 0161456 |
| Reference:
|
[9] F. L. Bauer A. S. Householder: Moments and characteristic roots.Numer. Math. 2, 42-53 (1960). MR 0110188, 10.1007/BF01386207 |
| Reference:
|
[10] E. Schröder: Über unendlich viele Algorithmen zur Auflösung der Gleichungen.Math. Ann. 2, 317-365 (1870). MR 1509664, 10.1007/BF01444024 |
| Reference:
|
[11] H. Rutishauser: Report on the solution of eigenvalue problems with the LR-transformation.Nat. Bureau Standards Appl. Math. Ser. 49, 47-81 (1958). MR 0090118 |
| Reference:
|
[12] J. G. F. Francis: The QR-transformation. A unitary analogue to the LR-transformation.Comput. J. 4, 265-271 (1961, 1962). Zbl 0104.34304, MR 0130111, 10.1093/comjnl/4.3.265 |
| . |
