Spectral sensitivity of products of bidiagonals

Linear Algebra and Its Applications

Volumn 275-276, Issue , 1998, Pages 417-431

  Parlett, Beresford N ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032390277     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)10052-0     Document Type: Article

References (13)

1. B.N. Parlett, The Symmetric Eigenvalue Problem, 2nd edition, SIAM, Philadelphia, 1997.
2. P. Deift, J.W. Demmel, L.-C. Li, C. Tomei, The bidiagonal singular value decomposition and Hamiltonian mechanics, SIAM J. Numer. Anal. 28 (1991) 1463-1516.
3. J.W. Demmel, K. Veselič, Jacobi's method is more accurate than QR. SIAM J. Matrix Anal. Appl. 13 (1992) 1204-1245.
4. I. Slapnicar, Accurate Symmetric Eigenreduction by a Jacobi Method, Thesis, Fernuniversitat Hagen, Germany, 1992.
5. K. Veselič, I. Slapnicar, Floating point perturbations of Hermilian matrices, Linear Algebra Appl. 195 (1993) 81-116.
6. J.W. Demmel, W. Kahan, Accurate singular values of bidiagonal matrices, SIAM J. Sci. Stat. Comput. 11 (1990) 873-912.
7. J. Barlow, J.W. Demmel, Computing accurate eigensystems of scaled diagonally dominant matrices, SIAM J. Numer. Anal. 27 (1990) 762-791.
8. S.C. Eisenstat, I.C.K. Ipsen, Relative perturbation techniques for singular value problems, SIAM J. Numer. Anal. 32 (1995) 1972-1988.
9. V. Hari, Z. Drmač, On scaled almost diagonal Hermitian matrix pairs, SIAM J. Matrix. Anal. Appl., to appear.
10. R.-C. Li, Relative perturbation theory: (1) eigenvalue and singular value variations, Tech. Rep. Univ. of California, Berkeley. UCB/CSD-94-855, Computer Science Division, Department of EECS, Univ. of California, Berkeley, 1994. (Revised January 1996), to appear SIAM Matrix Anal. Appl.
11. J.W. Demmel, Applied Linear Algebra, SIAM, Philadelphia, 1997.
12. K. Veselič, On linear vibrational system with one-dimensional damping, Appl. Anal. 29 (1988) 1-18.
13. J.H. Wilkinson, The Algebraic Eigenvalue Problem, Clarendon Press, Oxford, 1965.