A new relative perturbation theorem for singular subspaces

Linear Algebra and Its Applications

Volumn 313, Issue 1-3, 2000, Pages 41-51

  Li, Ren Cang ^a   Stewart, G W ^b  

^a UNIVERSITY OF KENTUCKY   (United States)

^b Institute of Advanced Computer Science   (United States)

Author keywords

15A18; 15A42; 65F15; 65F35; 65G99; Multiplicative perturbation; Relative gap; Relative perturbation theory; Singular subspace

Indexed keywords

EID: 0034391393     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00074-4     Document Type: Article

References (6)

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3. Li R.-C. New perturbation bounds for the unitary polar factor. SIAM J. Matrix Anal. Appl. 16:1995;327-332.
4. Li R.-C. Relative perturbation theory: II. eigenspace and singular subspace variations. SIAM J. Matrix Anal. Appl. 20:1999;471-492.
5. Stewart G.W., Sun J.-G. Matrix Perturbation Theory. 1990;Academic Press, Boston.
6. Wedin P.-Å. Perturbation bounds in connection with singular value decomposition. BIT. 12:1972;99-111.