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Similarity reduction of a general matrix to Hessenberg form

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

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References

  1. Martin, R. S., C. Reinsch, andJ. H. Wilkinson: Householder's tridiagonalization of a symmetric matrix. Num. Math.11, 181–195 (1968).

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  2. Wilkinson, J. H.: The algebraic eigenvalue problem. London: Oxford University Press 1965.

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  3. Parlett, B. N., andC. Reinsch: Balancing a matrix for calculation of eigenvalues and eigenvectors. To appear in this series.

  4. Martin, R. S., andJ. H. Wilkinson: The modifiedLR algorithm for complex Hessenberg matrices. Num. Math.12, 369–376 (1968).

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  5. - -: TheQR algorithm of J. Francis for real non-hermitian matrices. To appear in this series.

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Authors and Affiliations

  1. Division of Numerical and Applied Mathematics, National Physical Laboratory, Teddington, Middlesex, Great Britain

    J. H. Wilkinson

Authors
  1. Roger S. Martin
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  2. 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., Wilkinson, J.H. Similarity reduction of a general matrix to Hessenberg form. Numer. Math. 12, 349–368 (1968). https://doi.org/10.1007/BF02161358

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  • DOI: https://doi.org/10.1007/BF02161358

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