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Volumn 168, Issue 2, 2008, Pages 575-600

Invertibility of random matrices: Norm of the inverse

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EID: 49649108303     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2008.168.575     Document Type: Article
Times cited : (115)

References (20)
  • 1
    • 0001758959 scopus 로고
    • Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix
    • Z. D. Bai and Y. Q. Yin, Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix, Ann. Probab. 21 (1993), 1275-1294.
    • (1993) Ann. Probab. , vol.21 , pp. 1275-1294
    • Bai, Z.D.1    Yin, Y.Q.2
  • 2
    • 0012070851 scopus 로고    scopus 로고
    • Local operator theory, random matrices and Banach spaces, Handbook of the Geometry of Banach Spaces, North-Holland
    • K. Davidson and S. J. Szarek, Local operator theory, random matrices and Banach spaces, Handbook of the Geometry of Banach Spaces, Vol. I, 317-366, North-Holland, Amsterdam, 2001.
    • (2001) Amsterdam , vol.1 , pp. 317-366
    • Davidson, K.1    Szarek, S.J.2
  • 3
    • 0000324960 scopus 로고
    • Eigenvalues and condition numbers of random matrices
    • A. Edelman, Eigenvalues and condition numbers of random matrices, SIAM J. Matrix Anal. Appl. 9 (1988), 543-560.
    • (1988) SIAM J. Matrix Anal. Appl. , vol.9 , pp. 543-560
    • Edelman, A.1
  • 4
    • 0001147427 scopus 로고
    • On the concentration function of a sum of independent random variables
    • C. G. Esséen, On the concentration function of a sum of independent random variables, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 9 (1968), 290-308.
    • (1968) Z. Wahrscheinlichkeitstheorie und Verw. Gebiete , vol.9 , pp. 290-308
    • Esséen, C.G.1
  • 5
    • 0010078040 scopus 로고
    • On the distribution of additive arithmetic functions
    • G. Halász, On the distribution of additive arithmetic functions, Acta Arith. XXVII (1975), 143-152.
    • (1975) Acta Arith , vol.27 , pp. 143-152
    • Halász, G.1
  • 6
    • 33645673056 scopus 로고
    • Estimates for the concentration function of combinatorial number theory and probability
    • G. Halász, Estimates for the concentration function of combinatorial number theory and probability, Per. Math. Hung. 8 (1977), 197-211.
    • (1977) Per. Math. Hung. , vol.8 , pp. 197-211
    • Halász, G.1
  • 7
    • 84968494236 scopus 로고
    • On the probability that a random 1- matrix is singular
    • J. Kahn, J. Komlós, and E. Szemerédi, On the probability that a random 1- matrix is singular, J. Amer. Math. Soc. 8 (1995), 223-240.
    • (1995) J. Amer. Math. Soc. , vol.8 , pp. 223-240
    • Kahn, J.1    Komlós, J.2    Szemerédi, E.3
  • 8
    • 0004108913 scopus 로고
    • On the determinant of (0,1) matrices
    • J. Komlós, On the determinant of (0,1) matrices, Studia Sci. Math. Hungar. 2 (1967), 7-21.
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 7-21
    • Komlós, J.1
  • 9
    • 25544469014 scopus 로고
    • On the determinant of random matrices
    • J. Komlós, On the determinant of random matrices, Studia Sci. Math. Hungar. 3 (1968), 387-399.
    • (1968) Studia Sci. Math. Hungar. , vol.3 , pp. 387-399
    • Komlós, J.1
  • 11
    • 18644382839 scopus 로고    scopus 로고
    • Smallest singular value of random matrices and geometry of random polytopes
    • A. E. Litvak, A. Pajor, M. Rudelson, and N. Tomczak-Jaegermann, Smallest singular value of random matrices and geometry of random polytopes, Adv. Math. 195 (2005), 491-523.
    • (2005) Adv. Math. , vol.195 , pp. 491-523
    • Litvak, A.E.1    Pajor, A.2    Rudelson, M.3    Tomczak-Jaegermann, N.4
  • 14
    • 0004163930 scopus 로고    scopus 로고
    • Third edition, Pure and Applied Math. (Amsterdam) 142, Elsevier/Academic Press, Amsterdam
    • M. L. Mehta, Random Matrices, Third edition, Pure and Applied Math. (Amsterdam) 142, Elsevier/Academic Press, Amsterdam, 2004.
    • (2004) Random Matrices
    • Mehta, M.L.1
  • 17
    • 0012962482 scopus 로고
    • ∞ and random matrices
    • ∞ and random matrices, Amer. J. Math. 112 (1990), 899-942.
    • (1990) Amer. J. Math. , vol.112 , pp. 899-942
    • Szarek, S.J.1
  • 18
    • 0009400517 scopus 로고
    • Condition numbers of random matrices
    • S. J. Szarek, Condition numbers of random matrices, J. Complexity 7 (1991), 131-149.
    • (1991) J. Complexity , vol.7 , pp. 131-149
    • Szarek, S.J.1
  • 19
    • 33645288547 scopus 로고    scopus 로고
    • On random ±1 matrices: singularity and determinant
    • T. Tao and V. Vu, On random ±1 matrices: singularity and determinant, Random Structures Algorithms 28 (2006), 1-23.
    • (2006) Random Structures Algorithms , vol.28 , pp. 1-23
    • Tao, T.1    Vu, V.2
  • 20
    • 41049103477 scopus 로고    scopus 로고
    • On the singularity probability of random Bernoulli matrices
    • T. Tao and V. Vu, On the singularity probability of random Bernoulli matrices, J. Amer. Math. Soc. 20 (2007), 603-628.
    • (2007) J. Amer. Math. Soc. , vol.20 , pp. 603-628
    • Tao, T.1    Vu, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.