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QR like algorithms an overview of convergence theory and practice. Lectures Appl. Math. 32, 879–893 (1996) 25. : Convergence of algorithms of decomposition type for the eigenvalue problem. Linear Algebra and Its Applications. 143, 19–47 (1991) 26. : Chasing algorithms for the eigenvalue problem. SIAM J. Matrix Anal. Appl. 12(2), 374–384 (1991) A QR–method for computing the singular values via semiseparable matrices 195 27. : Theory of decomposition and bulge-chasing algorithms for the generalized eigenvalue problem.

The Lanczos-Ritz values appearing in an orthogonal similarity reduction of a matrix into semiseparable form. Leuven, Leuven, Belgium, May 2003 19. : Two fast algorithms for solving diagonal-plus-semiseparable linear systems. J. Comput. Appl. Math. 164–165, 731–747 (2004) 20. : An implicit QR algorithm for semiseparable matrices to compute the eigendecomposition of symmetric matrices. Leuven, Leuven, Belgium, August 2003 21. : A note on the representation and definition of semiseparable matrices.

15, 592–622 (1994) 194 Raf Vandebril et al. 5. : Accurate singular values of bidiagonal matrices. SIAM J. Sci. Comp. 11(5), 873–912 (1990) 6. : Some observations on inverses of band matrices and low rank perturbations of triangular matrices. Acta Technica Academiae Scientiarum Hungaricae. 108(1–2), 41–48 (1997–1999) 7. : Oscillation matrices and kernels and small vibrations of mechanical systems. AMS Chelsea Publishing, Providence, Rhode Island, revised edition, 2002 8. : Linear complexity algorithms for semiseparable matrices.