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Volumn 28, Issue 4, 2006, Pages 907-926

Computing the bidiagonal SVD using multiple relatively robust representations

Author keywords

Bidiagonal singular value decomposition; Coupling relations; LAPACK library; MRRR algorithm; Tridiagonal symmetric eigenproblem

Indexed keywords

BIDIAGONAL SINGULAR VALUE DECOMPOSITION; COUPLING RELATIONS; TRIDIAGONAL SYMMETRIC EIGENPROBLEM;

EID: 34547250699     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/050628301     Document Type: Conference Paper
Times cited : (21)

References (21)
  • 2
    • 0014751986 scopus 로고
    • The rotation of eigenvectors by a perturbation
    • C. DAVIS AND W. M. KAHAN, The rotation of eigenvectors by a perturbation. III, SIAM J. Numer. Anal., 7 (1970), pp. 1-46.
    • (1970) III, SIAM J. Numer. Anal , vol.7 , pp. 1-46
    • DAVIS, C.1    KAHAN, W.M.2
  • 4
    • 0001192187 scopus 로고
    • Accurate singular values of bidiagonal matrices
    • J. DEMMEL AND W. KAHAN, Accurate singular values of bidiagonal matrices, SIAM J. Sci. Comput., 11 (1990), pp. 873-912.
    • (1990) SIAM J. Sci. Comput , vol.11 , pp. 873-912
    • DEMMEL, J.1    KAHAN, W.2
  • 5
    • 84858371182 scopus 로고    scopus 로고
    • Performance and Accuracy of the Symmetric Eigensolvers in LAPACK, University of California, Berkeley
    • in preparation
    • J. W. DEMMEL, O. A. MARQUES, B. N. PARLETT, AND C. VÖMEL, Performance and Accuracy of the Symmetric Eigensolvers in LAPACK, University of California, Berkeley, 2005, in preparation.
    • (2005)
    • DEMMEL, J.W.1    MARQUES, O.A.2    PARLETT, B.N.3    VÖMEL, C.4
  • 7
    • 2942522546 scopus 로고    scopus 로고
    • Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices
    • I. S. DHILLON AND B. N. PARLETT, Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices, Linear Algebra Appl., 387 (2004), pp. 1-28.
    • (2004) Linear Algebra Appl , vol.387 , pp. 1-28
    • DHILLON, I.S.1    PARLETT, B.N.2
  • 8
    • 2942514399 scopus 로고    scopus 로고
    • Orthogonal eigenvectors and relative gaps
    • I. S. DHILLON AND B. N. PARLETT, Orthogonal eigenvectors and relative gaps, SIAM J. Matrix Anal. Appl., 25 (2004), pp. 858-899.
    • (2004) SIAM J. Matrix Anal. Appl , vol.25 , pp. 858-899
    • DHILLON, I.S.1    PARLETT, B.N.2
  • 11
    • 22944479035 scopus 로고    scopus 로고
    • On symmetric eigenproblems induced by the bidiagonal SVD
    • B. GROßER AND B. LANG, On symmetric eigenproblems induced by the bidiagonal SVD, SIAM J. Matrix Anal. Appl., 26 (2005), pp. 599-620.
    • (2005) SIAM J. Matrix Anal. Appl , vol.26 , pp. 599-620
    • GROßER, B.1    LANG, B.2
  • 12
    • 84862379808 scopus 로고    scopus 로고
    • 2) algorithm for the bidiagonal SVD
    • 2) algorithm for the bidiagonal SVD, Linear Algebra Appl., 358 (2003), pp. 45-70.
    • (2003) Linear Algebra Appl , vol.358 , pp. 45-70
    • GROßER, B.1    LANG, B.2
  • 15
    • 35349021346 scopus 로고
    • Cambridge University Press
    • B. N. PARLETT, The new gd algorithms, Cambridge University Press, (1995), pp. 459-491.
    • (1995) The new gd algorithms , pp. 459-491
    • PARLETT, B.N.1
  • 16
    • 0039329962 scopus 로고    scopus 로고
    • Invariant subspaces for tightly clustered eigenvalues of tridiagonals
    • B. N. PARLETT, Invariant subspaces for tightly clustered eigenvalues of tridiagonals, BIT, 36 (1996), pp. 542-562.
    • (1996) BIT , vol.36 , pp. 542-562
    • PARLETT, B.N.1
  • 17
    • 0039504477 scopus 로고    scopus 로고
    • Fernando's solution to Wilkinson's problem: An application of double factorization
    • B. N. PARLETT AND I. S. DHILLON, Fernando's solution to Wilkinson's problem: An application of double factorization, Linear Algebra Appl., 267 (1997), pp. 247-279.
    • (1997) Linear Algebra Appl , vol.267 , pp. 247-279
    • PARLETT, B.N.1    DHILLON, I.S.2
  • 18
    • 0034421232 scopus 로고    scopus 로고
    • Relatively robust representations of symmetric tridiagonals
    • B. N. PARLETT AND I. S. DHILLON, Relatively robust representations of symmetric tridiagonals, Linear Algebra Appl., 309 (2000), pp. 121-151.
    • (2000) Linear Algebra Appl , vol.309 , pp. 121-151
    • PARLETT, B.N.1    DHILLON, I.S.2
  • 19
    • 0034379502 scopus 로고    scopus 로고
    • An implementation of the DQDS algorithm (positive case)
    • B. N. PARLETT AND O. MARQUES, An implementation of the DQDS algorithm (positive case), Linear Algebra Appl., 309 (2000), pp. 217-259.
    • (2000) Linear Algebra Appl , vol.309 , pp. 217-259
    • PARLETT, B.N.1    MARQUES, O.2
  • 21
    • 84858355276 scopus 로고    scopus 로고
    • HOW to Improve FP Vectors in the MRRR Algorithm by Twisted Inverse Iteration, University of California, Berkeley
    • in preparation
    • B. N. PARLETT AND C. VÖMEL, HOW to Improve FP Vectors in the MRRR Algorithm by Twisted Inverse Iteration, University of California, Berkeley, 2005, in preparation.
    • (2005)
    • PARLETT, B.N.1    VÖMEL, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.