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Volumn 20, Issue 1, 2004, Pages 97-107

Smoothed analysis of K(A)

Author keywords

Condition number; Random matrices; Rice formulae for random fields; Smoothed analysis

Indexed keywords


EID: 1242344845     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jco.2003.09.003     Document Type: Article
Times cited : (23)

References (13)
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    • Upper and lower bounds for the tails of the distribution of the condition number of a Gaussian matrix
    • submitted for publication
    • J.-M. Azais, M. Wschebor, Upper and lower bounds for the tails of the distribution of the condition number of a Gaussian matrix, 2003, submitted for publication.
    • (2003)
    • Azais, J.-M.1    Wschebor, M.2
  • 2
    • 1242319019 scopus 로고    scopus 로고
    • Condition numbers and the extrema of random fields
    • Birkhauser, Basel, to appear
    • J. Cuesta-Albertos, M. Wschebor, Condition numbers and the extrema of random fields, in: Proceedings of IV Ascona Seminar, Birkhauser, Basel, 2003, to appear.
    • (2003) Proceedings of IV Ascona Seminar
    • Cuesta-Albertos, J.1    Wschebor, M.2
  • 4
    • 0000324960 scopus 로고
    • Eigenvalues, condition numbers of random matrices
    • A. Edelman, Eigenvalues, condition numbers of random matrices, SIAM J. Matrix Anal. Appl. 9 (1988) 543-556.
    • (1988) SIAM J. Matrix Anal. Appl. , vol.9 , pp. 543-556
    • Edelman, A.1
  • 6
    • 10644247876 scopus 로고    scopus 로고
    • A remark on hypercontractivity and tail inequalities for the largest eigenvaiues of random matrices
    • Séminaire de Probabilités XXXVII, Lecture Notes in Mathematics, Springer, Berlin, to appear
    • M. Ledoux, A remark on hypercontractivity and tail inequalities for the largest eigenvaiues of random matrices, Séminaire de Probabilités XXXVII, Lecture Notes in Mathematics, Springer, Berlin, 2003, to appear.
    • (2003)
    • Ledoux, M.1
  • 7
    • 0344362242 scopus 로고    scopus 로고
    • Smoothed analysis of the condition numbers and growth factors of matrices
    • preprint
    • A. Sankar, D.A. Spielman, S.H. Teng, Smoothed analysis of the condition numbers and growth factors of matrices, 2002, preprint.
    • (2002)
    • Sankar, A.1    Spielman, D.A.2    Teng, S.H.3
  • 8
    • 84967770163 scopus 로고
    • On the efficiency of algorithms of analysis
    • S. Smale, On the efficiency of algorithms of analysis, Bull. Amer. Math. Soc. (N.S.) 13 (2) (1985) 87-121.
    • (1985) Bull. Amer. Math. Soc. (N.S.) , vol.13 , Issue.2 , pp. 87-121
    • Smale, S.1
  • 9
    • 35248849703 scopus 로고    scopus 로고
    • Smoothed analysis of algorithms
    • Beijing
    • D.A. Spielman, S.H. Teng, Smoothed analysis of algorithms, ICM 2002, Beijing, Vol. 1, 2002, pp. 597-606.
    • (2002) ICM 2002 , vol.1 , pp. 597-606
    • Spielman, D.A.1    Teng, S.H.2
  • 10
    • 0009400517 scopus 로고
    • Condition numbers of random matrices
    • S.J. Szarek, Condition numbers of random matrices, J. Complexity 7 (2) (1991) 131-149.
    • (1991) J. Complexity , vol.7 , Issue.2 , pp. 131-149
    • Szarek, S.J.1
  • 11
    • 0000612851 scopus 로고
    • Rounding-off errors in matrix processes
    • A.M. Turing, Rounding-off errors in matrix processes, Q. J. Mech. Appl. Math. 1 (1948) 287-308.
    • (1948) Q. J. Mech. Appl. Math. , vol.1 , pp. 287-308
    • Turing, A.M.1
  • 12
    • 0001252659 scopus 로고
    • Numerical inverting of matrices of high order
    • J. von Neumann, H.H. Goldstine, Numerical inverting of matrices of high order, Bull. Amer. Math. Soc. 53 (1947) 1021-1099.
    • (1947) Bull. Amer. Math. Soc. , vol.53 , pp. 1021-1099
    • von Neumann, J.1    Goldstine, H.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.