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Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection. (English) Zbl 0189.47803


References:

[1] Bowdler, H. J., C. Reinsch, andJ. H. Wilkinson: TheQR algorithm for symmetric tridiagonal matrices (to be published in this series).
[2] Givens, J. W.: Numerical computation of the characteristic values of a real symmetric matrix. Oak Ridge National Laboratory, ORNL-1574 (1954). · Zbl 0055.35005
[3] Rutishauser, H.: Stabile Sonderfalle des Quotienten-Differenzen-Algorithmus. Numerische Mathematik5, 95–11 (1963). · Zbl 0196.48404 · doi:10.1007/BF01385882
[4] Wilkinson, J. H.: Error analysis of floating-point computation. Numerische Mathematik2, 319–340 (1960). · Zbl 0091.29605 · doi:10.1007/BF01386233
[5] —- Calculation of the eigenvalue of a symmetric tridiagonal matrix by the method of bisection. Numerische Mathematik4, 362–367 (1962). · Zbl 0107.34306 · doi:10.1007/BF01386333
[6] —- The algebraic eigenvalue problem. London: Oxford University Press 1965. · Zbl 0258.65037
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