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Volumn 32, Issue 3, 2006, Pages 222-230

Pipeline Givens sequences for computing the QR decomposition on a EREW PRAM

Author keywords

Givens rotation; Parallel algorithms; PRAM; QR decomposition

Indexed keywords

COMPUTATIONAL METHODS; MATRIX ALGEBRA; PROGRAM PROCESSORS; RANDOM ACCESS STORAGE;

EID: 32644440440     PISSN: 01678191     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.parco.2005.11.001     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 0010863320 scopus 로고
    • Numerically stable solution of dense systems of linear equations using mesh-connected processors
    • A. Bojanczyk, R. Brent, and H. Kung Numerically stable solution of dense systems of linear equations using mesh-connected processors SIAM J. Sci. Statist. Comput. 5 1984 95 104
    • (1984) SIAM J. Sci. Statist. Comput. , vol.5 , pp. 95-104
    • Bojanczyk, A.1    Brent, R.2    Kung, H.3
  • 2
    • 84976728041 scopus 로고
    • Optimal algorithms for parallel Givens factorization on a coarse-grained PRAM
    • M. Cosnard, and M. Daoudi Optimal algorithms for parallel Givens factorization on a coarse-grained PRAM J. ACM 41 2 1994 399 421
    • (1994) J. ACM , vol.41 , Issue.2 , pp. 399-421
    • Cosnard, M.1    Daoudi, M.2
  • 4
    • 40849150039 scopus 로고
    • Complexité de la factorisation QR en parallèle
    • M. Cosnard, and Y. Robert Complexité de la factorisation QR en parallèle C. R. Acad. Sci. Paris, ser. I 297 1983 137 139
    • (1983) C. R. Acad. Sci. Paris, Ser. i , vol.297 , pp. 137-139
    • Cosnard, M.1    Robert, Y.2
  • 5
    • 0003226727 scopus 로고    scopus 로고
    • Parallel Algorithms for Linear Models: Numerical Methods and Estimation Problems
    • Kluwer Academic Publishers Boston, MA
    • E.J. Kontoghiorghes Parallel Algorithms for Linear Models: Numerical Methods and Estimation Problems Advances in Computational Economics volume 15 2000 Kluwer Academic Publishers Boston, MA
    • (2000) Advances in Computational Economics , vol.15
    • Kontoghiorghes, E.J.1
  • 6
    • 0002247823 scopus 로고    scopus 로고
    • Parallel Givens sequences for solving the general linear model on a EREW PRAM
    • E.J. Kontoghiorghes Parallel Givens sequences for solving the general linear model on a EREW PRAM Parallel Algorithms Appl. 15 1-2 2000 57 75
    • (2000) Parallel Algorithms Appl. , vol.15 , Issue.1-2 , pp. 57-75
    • Kontoghiorghes, E.J.1
  • 7
    • 0035218826 scopus 로고    scopus 로고
    • Parallel strategies for rank-k updating of the QR decomposition
    • E.J. Kontoghiorghes Parallel strategies for rank-k updating of the QR decomposition SIAM J. Matrix Anal. Appl. 22 3 2000 714 725
    • (2000) SIAM J. Matrix Anal. Appl. , vol.22 , Issue.3 , pp. 714-725
    • Kontoghiorghes, E.J.1
  • 8
    • 0036725486 scopus 로고    scopus 로고
    • Greedy Givens algorithms for computing the rank-k updating of the QR decomposition
    • E.J. Kontoghiorghes Greedy Givens algorithms for computing the rank-k updating of the QR decomposition Parallel Comput. 28 9 2002 1257 1273
    • (2002) Parallel Comput. , vol.28 , Issue.9 , pp. 1257-1273
    • Kontoghiorghes, E.J.1
  • 9
    • 8444221331 scopus 로고
    • A rotation method for computing the QR decomposition
    • F.T. Luk A rotation method for computing the QR decomposition SIAM J. Sci. Statist. Comput. 7 2 1986 452 459
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , Issue.2 , pp. 452-459
    • Luk, F.T.1
  • 12
    • 0022323595 scopus 로고
    • Solving the linear least squares problem on a linear array of processors
    • Academic Press, Inc.
    • A.H. Sameh Solving the linear least squares problem on a linear array of processors Algorithmically Specialized Parallel Computers 1985 Academic Press, Inc. 191 200
    • (1985) Algorithmically Specialized Parallel Computers , pp. 191-200
    • Sameh, A.H.1
  • 13
    • 84968513725 scopus 로고
    • On Jacobi and Jacobi like algorithms for a parallel computer
    • A.H. Sameh, and R.P. Brent On Jacobi and Jacobi like algorithms for a parallel computer Math. Comput. 25 115 1971 579 590
    • (1971) Math. Comput. , vol.25 , Issue.115 , pp. 579-590
    • Sameh, A.H.1    Brent, R.P.2
  • 14
    • 84976682491 scopus 로고
    • On stable parallel linear system solvers
    • A.H. Sameh, and D.J. Kuck On stable parallel linear system solvers J. ACM 25 1 1978 81 91
    • (1978) J. ACM , vol.25 , Issue.1 , pp. 81-91
    • Sameh, A.H.1    Kuck, D.J.2
  • 15
    • 21044437367 scopus 로고    scopus 로고
    • Algorithms for computing the QR decomposition of a set of matrices with common columns
    • P. Yanev, P. Foschi, and E.J. Kontoghiorghes Algorithms for computing the QR decomposition of a set of matrices with common columns Algorithmica 39 2004 83 93
    • (2004) Algorithmica , vol.39 , pp. 83-93
    • Yanev, P.1    Foschi, P.2    Kontoghiorghes, E.J.3
  • 16
    • 1542350168 scopus 로고    scopus 로고
    • Efficient algorithms for block downdating of least squares solutions
    • P. Yanev, and E.J. Kontoghiorghes Efficient algorithms for block downdating of least squares solutions Appl. Numer. Math. 49 2004 3 15
    • (2004) Appl. Numer. Math. , vol.49 , pp. 3-15
    • Yanev, P.1    Kontoghiorghes, E.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.