메뉴 건너뛰기




Volumn 27, Issue 3, 2005, Pages 603-620

Condition numbers of Gaussian random matrices

Author keywords

Condition number; Eigenvalues; Random matrices; Singular values; Wishart distribution

Indexed keywords

CONDITION NUMBER; EIGENVALUES; RANDOM MATRICES; SINGULAR VALUES; WISHART DISTRIBUTION;

EID: 33746136466     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/040616413     Document Type: Article
Times cited : (156)

References (11)
  • 1
    • 0004245694 scopus 로고
    • M. ABRAMOWITZ AND I. A. STEGUN, EDS., Dover, New York
    • M. ABRAMOWITZ AND I. A. STEGUN, EDS., Handbook of Mathematical Functions, Dover, New York, 1970.
    • (1970) Handbook of Mathematical Functions
  • 2
    • 17444415657 scopus 로고    scopus 로고
    • Upper and lower bounds for the tails of the distribution of the condition number of a Gaussian matrix
    • J. M. AZAIS AND M. WSCHEBOR, Upper and lower bounds for the tails of the distribution of the condition number of a Gaussian matrix, SIAM J. Matrix Anal. Appl., 26 (2000), pp. 426-440.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.26 , pp. 426-440
    • Azais, J.M.1    Wschebor, M.2
  • 3
    • 33746126331 scopus 로고    scopus 로고
    • Numerically stable real number codes based on random matrices
    • Department of Computer Science, The University of Tennessee, Knoxville
    • Z. CHEN AND J. DONGARRA, Numerically Stable Real Number Codes Based on Random Matrices, Technical report ut-cs-04-526, Department of Computer Science, The University of Tennessee, Knoxville, 2004.
    • (2004) Technical Report , vol.UT-CS-04-526
    • Chen, Z.1    Dongarra, J.2
  • 6
    • 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), pp. 543-560.
    • (1988) SIAM J. Matrix Anal, Appl. , vol.9 , pp. 543-560
    • Edelman, A.1
  • 7
    • 33646242497 scopus 로고    scopus 로고
    • Tails of condition number distributions
    • A. EDELMAN AND B. D. SUTTON, Tails of condition number distributions, SIAM J. Matrix Anal. Appl., 27 (2005), pp. 547-560.
    • (2005) SIAM J. Matrix Anal. Appl. , vol.27 , pp. 547-560
    • Edelman, A.1    Sutton, B.D.2
  • 9
    • 0000952005 scopus 로고
    • Distributions of matrix variates and latent roots derived from normal samples
    • A. T. JAMES, Distributions of matrix variates and latent roots derived from normal samples, Ann. Math. Statist., 35 (1964), pp. 475-501.
    • (1964) Ann. Math. Statist. , vol.35 , pp. 475-501
    • James, A.T.1
  • 10
    • 84967770163 scopus 로고
    • On the efficiency of algorithms of analysis
    • S. SMALE, On the efficiency of algorithms of analysis, Bull. Amer. Math, Soc., 13 (1985), pp. 87-121.
    • (1985) Bull. Amer. Math, Soc. , vol.13 , pp. 87-121
    • Smale, S.1
  • 11
    • 0009400517 scopus 로고
    • Condition numbers of random matrices
    • S. J. SZAREK, Condition numbers of random matrices, J. Complexity, 7 (1991), pp. 131-149.
    • (1991) J. Complexity , vol.7 , pp. 131-149
    • Szarek, S.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.