A relative perturbation bound for positive definite matrices

Linear Algebra and Its Applications

Volumn 270, Issue 1-3, 1998, Pages 315-321

  Mathias, Roy ^a   Veselić, Krešimir ^b  

^a Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

^b UNIVERSITY OF HAGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041853152     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)00248-6     Document Type: Article

References (10)

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3. S. C. Eisenstat and I. C. Ipsen, Relative perturbation techniques for eigenspaces and singular vector subspaces, in Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, 1994, pp. 62-66.
4. S. C. Eisenstat and I. C. Ipsen, Relative perturbation techniques for singular value problems. SIAM J. Numer. Anal. 32(6):1972-1988 (1995).
5. R.-C. Li, Relative perturbation theory: (II) Eigenspace and singular subspace variations, Manuscript.
6. R. Mathias, Spectral perturbation bounds for graded positive definite matrices, SIAM J. Matrix Anal. Appl, to appear.
7. R. Mathias, A perturbation bound for eigenvectors and for the matrix square root, SIAM J. Matrix Anal. Appl., to appear.
8. I. Slapničar and K. Veselić, Perturbations of the eigenprojections of factorized Hermitian matrices, Linear Algebra Appl. 218:273-280 (1995).
9. A. van der Sluis, Condition numbers and equilibrations of matrices, Numer. Math. 195:14-23 (1993).
10. K. Veselić and I. Slapničar, Floating-point perturbations of Hermitian matrices, Linear Algebra Appl. 195:81-116 (1993).