메뉴 건너뛰기




Volumn 414, Issue 1, 2006, Pages 288-294

On the largest principal angle between random subspaces

Author keywords

Gamma function; Grassmann manifold; Hypergeometric function of matrix argument; Largest canonical angle; Largest principal angle; Projection 2 norm; Random matrices

Indexed keywords

FUNCTION EVALUATION; MATHEMATICAL TRANSFORMATIONS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS;

EID: 33244482593     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.10.004     Document Type: Article
Times cited : (66)

References (12)
  • 1
    • 1442336159 scopus 로고    scopus 로고
    • Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
    • P.-A. Absil, R. Mahony, and R. Sepulchre Riemannian geometry of Grassmann manifolds with a view on algorithmic computation Acta Appl. Math. 80 2 2004 199 220
    • (2004) Acta Appl. Math. , vol.80 , Issue.2 , pp. 199-220
    • Absil, P.-A.1    Mahony, R.2    Sepulchre, R.3
  • 2
    • 0036494136 scopus 로고    scopus 로고
    • A Grassmann-Rayleigh quotient iteration for computing invariant subspaces
    • P.-A. Absil, R. Mahony, R. Sepulchre, and P. Van Dooren A Grassmann-Rayleigh quotient iteration for computing invariant subspaces SIAM Rev. 44 1 2002 57 73
    • (2002) SIAM Rev. , vol.44 , Issue.1 , pp. 57-73
    • Absil, P.-A.1    Mahony, R.2    Sepulchre, R.3    Van Dooren, P.4
  • 3
    • 0242323292 scopus 로고    scopus 로고
    • Newton's method on Riemannian manifolds: Convariant alpha theory
    • J.-P. Dedieu, P. Priouret, and G. Malajovich Newton's method on Riemannian manifolds: convariant alpha theory IMA J. Numer. Anal. 23 3 2003 395 419
    • (2003) IMA J. Numer. Anal. , vol.23 , Issue.3 , pp. 395-419
    • Dedieu, J.-P.1    Priouret, P.2    Malajovich, G.3
  • 4
    • 0034353670 scopus 로고    scopus 로고
    • On principal angles between subspaces of Euclidean space
    • Z. Drmač On principal angles between subspaces of Euclidean space SIAM J. Matrix Anal. Appl. 22 1 2000 173 194
    • (2000) SIAM J. Matrix Anal. Appl. , vol.22 , Issue.1 , pp. 173-194
    • Drmač, Z.1
  • 5
    • 0032216898 scopus 로고    scopus 로고
    • The geometry of algorithms with orthogonality constraints
    • A. Edelman, T.A. Arias, and S.T. Smith The geometry of algorithms with orthogonality constraints SIAM J. Matrix Anal. Appl. 20 2 1998 303 353
    • (1998) SIAM J. Matrix Anal. Appl. , vol.20 , Issue.2 , pp. 303-353
    • Edelman, A.1    Arias, T.A.2    Smith, S.T.3
  • 7
    • 0002416976 scopus 로고
    • Normal multivariate analysis and the orthogonal group
    • A.T. James Normal multivariate analysis and the orthogonal group Ann. Math. Statistics 25 1954 40 75
    • (1954) Ann. Math. Statistics , vol.25 , pp. 40-75
    • James, A.T.1
  • 8
    • 33244476393 scopus 로고    scopus 로고
    • The efficient evaluation of the hypergeometric function of a matrix argument
    • in press
    • P. Koev, A. Edelman, The efficient evaluation of the hypergeometric function of a matrix argument, Math. Comp., in press.
    • Math. Comp.
    • Koev, P.1    Edelman, A.2
  • 12
    • 0040238984 scopus 로고    scopus 로고
    • Almost invariant submanifolds for compact group actions
    • A. Weinstein Almost invariant submanifolds for compact group actions J. Eur. Math. Soc. (JEMS) 2 1 2000 53 86
    • (2000) J. Eur. Math. Soc. (JEMS) , vol.2 , Issue.1 , pp. 53-86
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.