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TheLR transformation method for symmetric matrices

  • Handbook Series Linear Algebra
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Numerische Mathematik Aims and scope Submit manuscript

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References

  1. Rutishauser, H.: Une méthode pour la détermination des valeurs propres d'une matrice. Compt. rend. Paris240, 34 (1955).

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  2. —: Solution of Eigenvalue Problems with theLR-transformation. Nat Bur. Standards, AMS49, 47–81 (1958).

    Google Scholar 

  3. Heilbronner, E., H. Rutishauser u.F. Gerson: Verfahren zur programmgesteuerten Berechnung der Eigenwerte eindimensionaler Molekel-Modelle. Helvetica Chemica Acta42, 2285–2303 (1959).

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  4. Rutishauser, H.: Über eine kubisch konvergente Variante derLR-Transformation. ZAMM40, 49–54 (1960).

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  5. —: Stabile Sonderfälle des Quotienten-Differenzen-Algorithmus. Numer. Math.5, 95–112 (1963).

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  6. —: Interference with anAlgol-procedure. Annual Review in Automatic Programming,2, 67–75 (1961).

    Google Scholar 

  7. Backus, J. W., F. L. Bauer, J. Green, C. Katz, J. McCarthy, P. Naur, A. J. Perlis, H. Rutishauser, N. Samelson, B. Vauquois, J. H. Wegstein, A. von Wijngaarden andM. Woodger: Revised report on the algorithmic languageAlgol 60. Numerische Mathematik4, 420–453 (1963).

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  8. Schwarz H. R.: Intodruction toAlgol. Comm. of the ACM5 (1962).

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Eidgenössische Technische Hochschule, Zürich

    H. Rutishauser & H. R. Schwarz

Authors
  1. H. Rutishauser
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  2. H. R. Schwarz
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Additional information

Editor's note. In this fascicle, prepublication of algorithms from the Linear Algebra series of the Handbook for Automatic Computation is continued. Algorithms are published inAlgol 60 reference language as approved recently byIfip [7]. Contributions in this series should be styled after the most recently published ones. Inquiries are to be directed to the editor.F. L. Bauer, München

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Rutishauser, H., Schwarz, H.R. TheLR transformation method for symmetric matrices. Numer. Math. 5, 273–289 (1963). https://doi.org/10.1007/BF01385897

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  • DOI: https://doi.org/10.1007/BF01385897

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