Lower estimates for the singular values of random matrices;Minorations des valeurs singulières de matrices aléatoires

Comptes Rendus Mathematique

Volumn 342, Issue 4, 2006, Pages 247-252

  Rudelson, Mark ^a  

^a UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31344479578     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.11.013     Document Type: Article

References (9)

1. n spanned by random sign-vectors are isomorphic to Euclidean with polynomial dependence, Preprint
2. Z.D. Bai Y.Q. Yin Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix Ann. Probab. 21 3 1993 1275-1294
3. K. Davidson S.J. Szarek Local operator theory, random matrices and Banach spaces Handbook of the Geometry of Banach Spaces vol. I 2001 North-Holland Amsterdam 317-366
4. A.Yu. Garnaev E.D. Gluskin The widths of a Euclidean ball Dokl. Akad. Nauk SSSR 277 1984 1048-1052
5. B. Kashin The widths of certain finite-dimensional sets and classes of smooth functions Izv. Akad. Nauk SSSR Ser. Mat. 41 1977 334-351
6. A.E. Litvak A. Pajor M. Rudelson N. Tomczak-Jaegermann Smallest singular value of random matrices and geometry of random polytopes Adv. Math. 195 2 2005 491-523
7. A.E. Litvak A. Pajor M. Rudelson N. Tomczak-Jaegermann R. Vershynin Random Euclidean embeddings in spaces of bounded volume ratio C. R. Acad. Sci. Paris, Ser. I 339 2004 33-38
8. A.E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, Euclidean embeddings in spaces of finite volume ratio via random matrices, J. Reine Angew. Math., in press
9. M. Rudelson, Invertibility of random matrices: Norm of the inverse, Preprint