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Numerically stable deflation of Hessenberg and symmetric tridiagonal matrices. (English) Zbl 0226.65028


MSC:

65F30 Other matrix algorithms (MSC2010)
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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References:

[1] D. Corneil,Eigenvalues and Orthogonal Eigenvectors of Real Symmetric Matrices, Department of Computer Science, University of Toronto, August 1965.
[2] G. H. Golub and W. Kahan,Calculating the Singular Values and Pseudo-Inverse of a Matrix, J. SIAM Numer. Anal 2, 205–224 (1965). · Zbl 0194.18201
[3] H. Rutishauser, Deflation bei Bandmatrizen, Z. Angew. Math. Phys. 10, 314–319 (1959). · Zbl 0086.11002
[4] H. Rutishauser,On Jacobi Rotation Patterns, American Mathematical Society, Proceedings of Symposia in Applied Mathematics 15, 219–239 (1963).
[5] H. R. Schwarz,Tridiagonalization of a Symmetric Band Matrix, Numer. Math. 12, 231–241 (1968). · Zbl 0165.50201
[6] J. H. Wilkinson,Error Analysis of Eigenvalue Techniques Based on Orthogonal Transformations, Journal ACM 19, 162–195 (1962). · Zbl 0108.29703
[7] J. H. Wilkinson,The Algebraic Eigenvalue Problem, Oxford U. Press, 1965. · Zbl 0258.65037
[8] P. A. Businger,SSEV and HSEV–Selected Eigenvalues and Eigenvectors of Real Symmetric and Complex Hermitian Matrices, Program write-up available from the author.
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