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Householder's tridiagonalization of a symmetric matrix

  • Handbook Series Linear Algebra
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References

  1. Barth, W., R. S. Martin, andJ. H. Wilkinson: Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection. Numerische Mathematik9, 386–393 (1967).

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  2. Bowdler, H., C. Reinsch, R. S. Martin, andJ. H. Wilkinson: TheQ L algorithm for symmetric tridiagonal matrices. (To appear in this series.)

  3. Ortega, J. M.: An error analysis ofHouseholder's method for the symmetric eigenvalue problem. Numerische Mathematik5, 211–225 (1963).

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  5. —— Calculation of the eigenvectors of a symmetric tridiagonal matrix by inverse iteration. Numerische Mathematik4, 368–376 (1962).

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Authors and Affiliations

  1. National Physical Laboratory, Mathematics Division Teddington, Middlesex, Great Britain

    R. S. Martin & J. H. Wilkinson

  2. Mathematisches Institut der Technischen Hochschule, Arcisstr. 21, 8000, München 2

    C. Reinsch

Authors
  1. R. S. Martin
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  2. C. Reinsch
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  3. J. H. Wilkinson
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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 by the IFIP. Contributions in this series should be styled after the most recently published ones.

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Martin, R.S., Reinsch, C. & Wilkinson, J.H. Householder's tridiagonalization of a symmetric matrix. Numer. Math. 11, 181–195 (1968). https://doi.org/10.1007/BF02161841

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  • DOI: https://doi.org/10.1007/BF02161841

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