Numerical estimate and calculation of eigenvalues for nonsymmetric matrices

Friedrich Ludwig Bauer

Aplikace matematiky (1965)

  • Volume: 10, Issue: 2, page 178-189
  • ISSN: 0862-7940

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Bauer, Friedrich Ludwig. "Numerische Abschätzung und Berechnung von Eigenwerten nichtsymmetrischer Matrizen." Aplikace matematiky 10.2 (1965): 178-189. <http://eudml.org/doc/14342>.

@article{Bauer1965,
author = {Bauer, Friedrich Ludwig},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {ger},
number = {2},
pages = {178-189},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerische Abschätzung und Berechnung von Eigenwerten nichtsymmetrischer Matrizen},
url = {http://eudml.org/doc/14342},
volume = {10},
year = {1965},
}

TY - JOUR
AU - Bauer, Friedrich Ludwig
TI - Numerische Abschätzung und Berechnung von Eigenwerten nichtsymmetrischer Matrizen
JO - Aplikace matematiky
PY - 1965
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 10
IS - 2
SP - 178
EP - 189
LA - ger
KW - numerical analysis
UR - http://eudml.org/doc/14342
ER -

References

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  1. W. Givens, Numerical computation of the characteristic values of a real symmetric matrix, Oak Ridge National Laboratory, ORNL - 1574 (1954). (1954) Zbl0055.35005MR0063771
  2. J. H. Wilkinson, 10.1007/BF01386333, Numer. Math. 4, 362-367 (1962). (1962) Zbl0107.34306MR0148208DOI10.1007/BF01386333
  3. F. L. Bauer, Das Verfahren der Treppeniteration und verwandte Verfahren zur Lösung algebraischer Eigenwertprobleme, Z. Angew. Math. Phys. 8, 214-235 (1957). (1957) Zbl0078.12103MR0088049
  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). (1955) Zbl0064.12203MR0070269
  5. F. L. Bauer, Das Verfahren der abgekürzten Iteration, Z. Angew. Math. Phys. 7, 17 - 32 (1956). (1956) Zbl0072.14101MR0079835
  6. F. L. Bauer C. T. Fike, 10.1007/BF01386217, Numer. Math. 2, 137-141 (1960). (1960) Zbl0101.25503MR0118729DOI10.1007/BF01386217
  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. Zbl0133.08603MR0168106
  8. J. H. Wilkinson, Rounding errors in algebraic processes, Her Majesty's Stationary Office, London 1963. (1963) Zbl1041.65502MR0161456
  9. F. L. Bauer A. S. Householder, 10.1007/BF01386207, Numer. Math. 2, 42-53 (1960). (1960) Zbl0092.32503MR0110188DOI10.1007/BF01386207
  10. E. Schröder, 10.1007/BF01444024, Math. Ann. 2, 317-365 (1870). MR1509664DOI10.1007/BF01444024
  11. H. Rutishauser, Report on the solution of eigenvalue problems with the LR-transformation, Nat. Bureau Standards Appl. Math. Ser. 49, 47-81 (1958). (1958) Zbl0123.11303MR0090118
  12. J. G. F. Francis, 10.1093/comjnl/4.3.265, Comput. J. 4, 265-271 (1961, 1962). (1961) Zbl0104.34304MR0130111DOI10.1093/comjnl/4.3.265

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