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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
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  • [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, Rep. ORNL 1574, Oak Ridge National Laboratory, Oak Ridge, Tenn., 1954. MR 0063771
  • [3] J. H. Wilkinson, Householder‘s method for the solution of the algebraic eigenproblem., Comput. J. 3 (1960/1961), 23–27. MR 0111131
  • [4] J. B. Rosser, C. Lanczos, M. R. Hestenes, and W. Karush, Separation of close eigenvalues of a real symmetric matrix, J. Research Nat. Bur. Standards 47 (1951), 291–297. MR 0048914
  • [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.

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Article copyright: © Copyright 1964 American Mathematical Society