Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



A comparison of methods for computing the eigenvalues and eigenvectors of real symmetric matrix

Authors: Paul A. White and Robert R. Brown
Journal: Math. Comp. 18 (1964), 457-463
MSC: Primary 65.40
MathSciNet review: 0165667
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] C. G. J. Jacobi, ``Ein leichtes Verfahren, die in der Theorie der Säkularstörungen vorkommenden Gleichungen numerisch aufzulösen,'' J. Reine Angew. Math., v. 30, 1846, p. 51-95.
  • [2] Wallace Givens, Numerical Computation of the Characteristic Values of a Real Symmetric Matrix, Oak Ridge National Laboratory Report ORNL-1574. MR 0063771 (16:177c)
  • [3] J. H. Wilkinson, ``Householder's method for the solutions of the algebraic eigen problem,'' The Computer Journal, v. 3, p. 23-27. MR 0111131 (22:1995)
  • [4] J. B. Rosser, C. Lanczos, M. R. Hestenes & W. Karush, ``Separation of close eigenvalues of a real symmetric matrix,'' J. Res. Nat. Bur. Standards, v. 47, 1951, p. 291-297. MR 0048914 (14:92d)
  • [5] James M. Ortega, An Error Analysis of Householder's Method for the Symmetric Eigenvalue Problem, Stanford Univ. Appl. Math. and Statistics Lab., Tech. Report No. 18.
  • [6] J. H. Wilkinson, ``The calculation of the eigenvectors of codiagonal matrices,'' The Computer Journal, 1958, p. 90-96.

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65.40

Retrieve articles in all journals with MSC: 65.40

Additional Information

Article copyright: © Copyright 1964 American Mathematical Society

American Mathematical Society