Numerische Mathematik

, Volume 13, Issue 4, pp 293–304 | Cite as

Balancing a matrix for calculation of eigenvalues and eigenvectors

  • B. N. Parlett
  • C. Reinsch
Handbook Series Linear Algebra


Mathematical Method 
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  1. 1.
    Osborne, E. E.: On pre-conditioning of matrices. Jour. ACM7, 338–345 (1960).Google Scholar
  2. 2.
    Wilkinson, J. H.: The algebraic eigenvalue problem. London: Oxford University Press 1965Google Scholar
  3. 3.
    Martin, R. S., andJ. H. Wilkinson: Similarity reduction of general matrices to Hessenberg form. Num. Math.12, 349–368 (1969).Google Scholar
  4. 4.
    —— The modified LR algorithm for complex Hessenberg matrices. Num. Math. 12, 369–376 (1969).Google Scholar
  5. 5.
    — Francis'QR algorithm for real Hessenberg matrices. To appear Num. Math.Google Scholar

Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • B. N. Parlett
    • 1
  • C. Reinsch
    • 2
  1. 1.Department of Computer ScienceUniversity of CaliforniaBerkeleyUSA
  2. 2.Mathematisches Institut der Technischen HochschuleMünchen 2

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