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Volumn 50, Issue 1, 2009, Pages 33-65

Computing the complete CS decomposition

Author keywords

CS decomposition; Generalized singular value decomposition

Indexed keywords


EID: 61849138390     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-008-9215-6     Document Type: Article
Times cited : (43)

References (20)
  • 2
    • 0042121944 scopus 로고
    • Preprint Series 958. Institute for Mathematics and its Applications, University of Minnesota April
    • Bai, Z.: The CSD, GSVD, their applications and computations. Preprint Series 958. Institute for Mathematics and its Applications, University of Minnesota (1992, April)
    • (1992) The CSD, GSVD, Their Applications and Computations
    • Bai, Z.1
  • 3
    • 0000166648 scopus 로고
    • Computing the generalized singular value decomposition
    • 6
    • Z. Bai J. Demmel 1993 Computing the generalized singular value decomposition SIAM J. Sci. Comput. 14 6 1464 1486
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1464-1486
    • Bai, Z.1    Demmel, J.2
  • 4
    • 84968511079 scopus 로고
    • Some new bounds on perturbation of subspaces
    • C. Davis W.M. Kahan 1969 Some new bounds on perturbation of subspaces Bull. Am. Math. Soc. 75 863 868
    • (1969) Bull. Am. Math. Soc. , vol.75 , pp. 863-868
    • Davis, C.1    Kahan, W.M.2
  • 5
    • 0014751986 scopus 로고
    • The rotation of eigenvectors by a perturbation, III
    • C. Davis W.M. Kahan 1970 The rotation of eigenvectors by a perturbation, III SIAM J. Numer. Anal. 7 1 46
    • (1970) SIAM J. Numer. Anal. , vol.7 , pp. 1-46
    • Davis, C.1    Kahan, W.M.2
  • 6
    • 0001192187 scopus 로고
    • Accurate singular values of bidiagonal matrices
    • 5
    • J. Demmel W. Kahan 1990 Accurate singular values of bidiagonal matrices SIAM J. Sci. Statist. Comput. 11 5 873 912
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 873-912
    • Demmel, J.1    Kahan, W.2
  • 7
    • 44649173035 scopus 로고    scopus 로고
    • The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems
    • 2
    • A. Edelman B.D. Sutton 2008 The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems Found. Comput. Math. 8 2 259 285
    • (2008) Found. Comput. Math. , vol.8 , pp. 259-285
    • Edelman, A.1    Sutton, B.D.2
  • 9
    • 33747738463 scopus 로고
    • Handbook series linear algebra: Singular value decomposition and least squares solutions
    • 5
    • G.H. Golub C. Reinsch 1970 Handbook series linear algebra: Singular value decomposition and least squares solutions Numer. Math. 14 5 403 420
    • (1970) Numer. Math. , vol.14 , pp. 403-420
    • Golub, G.H.1    Reinsch, C.2
  • 10
    • 0004236492 scopus 로고    scopus 로고
    • 3 Johns Hopkins Studies in the Mathematical Sciences, Johns Hopkins University Press Baltimore, MD
    • Golub, G.H., Van Loan, C.F.: Matrix computations, 3rd edn. Johns Hopkins Studies in the Mathematical Sciences, Johns Hopkins University Press, Baltimore, MD (1996)
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 11
    • 23744486853 scopus 로고    scopus 로고
    • Accelerating the SVD block-Jacobi method
    • 1
    • V. Hari 2005 Accelerating the SVD block-Jacobi method Computing 75 1 27 53
    • (2005) Computing , vol.75 , pp. 27-53
    • Hari, V.1
  • 12
    • 0000107375 scopus 로고
    • Essai sur la géométrie à n dimensions
    • C. Jordan 1875 Essai sur la géométrie à n dimensions Bull. Soc. Math. Fr. 3 103 174
    • (1875) Bull. Soc. Math. Fr. , vol.3 , pp. 103-174
    • Jordan, C.1
  • 13
    • 0000726285 scopus 로고
    • Computing the generalized singular value decomposition
    • 4
    • C.C. Paige 1986 Computing the generalized singular value decomposition SIAM J. Sci. Statist. Comput. 7 4 1126 1146
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 1126-1146
    • Paige, C.C.1
  • 14
    • 0001129014 scopus 로고
    • Towards a generalized singular value decomposition
    • 3
    • C.C. Paige M.A. Saunders 1981 Towards a generalized singular value decomposition SIAM J. Numer. Anal. 18 3 398 405
    • (1981) SIAM J. Numer. Anal. , vol.18 , pp. 398-405
    • Paige, C.C.1    Saunders, M.A.2
  • 15
    • 7544236723 scopus 로고
    • History and generality of the CS decomposition
    • C.C. Paige M. Wei 1994 History and generality of the CS decomposition Linear Algebra Appl. 208/209 303 326
    • (1994) Linear Algebra Appl. , vol.208-209 , pp. 303-326
    • Paige, C.C.1    Wei, M.2
  • 16
    • 0000627176 scopus 로고
    • On the perturbation of pseudo-inverses, projections and linear least squares problems
    • 4
    • G.W. Stewart 1977 On the perturbation of pseudo-inverses, projections and linear least squares problems SIAM Rev. 19 4 634 662
    • (1977) SIAM Rev. , vol.19 , pp. 634-662
    • Stewart, G.W.1
  • 17
    • 34250230826 scopus 로고
    • Computing the CS decomposition of a partitioned orthonormal matrix
    • 3
    • G.W. Stewart 1982 Computing the CS decomposition of a partitioned orthonormal matrix Numer. Math. 40 3 297 306
    • (1982) Numer. Math. , vol.40 , pp. 297-306
    • Stewart, G.W.1
  • 19
    • 0000767435 scopus 로고
    • Computing the CS and the generalized singular value decompositions
    • 4
    • C. Van Loan 1985 Computing the CS and the generalized singular value decompositions Numer. Math. 46 4 479 491
    • (1985) Numer. Math. , vol.46 , pp. 479-491
    • Van Loan, C.1
  • 20
    • 0027657519 scopus 로고
    • Some perspectives on the eigenvalue problem
    • 3
    • D.S. Watkins 1993 Some perspectives on the eigenvalue problem SIAM Rev. 35 3 430 471
    • (1993) SIAM Rev. , vol.35 , pp. 430-471
    • Watkins, D.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.