On Computing an Eigenvector of a Tridiagonal Matrix

@inproceedings{Fernando1995OnCA,
  title={On Computing an Eigenvector of a Tridiagonal Matrix},
  author={K. Vince Fernando},
  year={1995}
}
We consider the solution of the homogeneous equation J I x where J is a tridiagonal matrix is a known eigenvalue and x is the unknown eigenvector corresponding to Since the system is under determined x could be obtained by setting xk and solving for the rest of the elements of x This method is not entirely new and it can be traced back to the times of Cauchy In Wilkinson demonstrated that in nite precision arithmetic the computed x is highly sensitive to the choice of k the traditional practice… CONTINUE READING
28 Citations
15 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Computing an eigenvector of a tridiagonal when the eigenvalue is known. Zeitschrift f ur Angewandte Mathematik und Mechanik

  • K V Fernando
  • Proc. of the Third International Congress on…
  • 1996

LAPACK Users' Guide, Release 2.0. SIAM

  • E Anderson, Z Bai, +9 authors Sorensen
  • LAPACK Users' Guide, Release 2.0. SIAM
  • 1995

Matrix Computations

  • G H Golub, C F Van Loan
  • Matrix Computations
  • 1989

Numerical stability in problems of linear algebra

  • I Babu, Ska
  • SIAM J. Numer. Anal
  • 1972

Accurate eigenvalues of a symmetric tri-diagonal matrix

  • W Kahan
  • Accurate eigenvalues of a symmetric tri-diagonal…
  • 1966

Matrix Analysis of Vibrations. the University Press

  • R E D Bishop, G M L Gladwell, S Michaelson
  • Matrix Analysis of Vibrations. the University…
  • 1965

The Algebraic Eigenvalue Problem

  • J H Wilkinson
  • The Algebraic Eigenvalue Problem
  • 1965

Bounds for eigenvalues of certain tridiagonal matrices

  • P Henrici
  • J. Soc. Indust. Appl. Math
  • 1963

Similar Papers

Loading similar papers…