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Volumn 275-276, Issue , 1998, Pages 451-470

Parallel codes for computing the numerical rank

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EID: 0032392256     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)10032-5     Document Type: Article
Times cited : (12)

References (26)
  • 2
    • 0024929704 scopus 로고
    • A block QR factorization algorithm using restricted pivoting
    • Baltimore, ACM. New York
    • C.H. Bischof, A block QR factorization algorithm using restricted pivoting, in: Proceedings SUPERCOMPUTING '89, Baltimore, ACM. New York, 1989, pp. 248-256.
    • (1989) Proceedings Supercomputing '89 , pp. 248-256
    • Bischof, C.H.1
  • 4
    • 0032083715 scopus 로고    scopus 로고
    • Computing rank-revealing QR factorizations of dense matrices
    • Argonne Preprint MCS-P559-0196, Mathematics and Computer Science Division, Argonne National Laboratory, 1996. To appear
    • C.H. Bischof, G. Quintana-Ortí, Computing rank-revealing QR factorizations of dense matrices, Argonne Preprint MCS-P559-0196, Mathematics and Computer Science Division, Argonne National Laboratory, 1996. To appear in ACM Trans math. Softw. 1998.
    • (1998) ACM Trans Math. Softw.
    • Bischof, C.H.1    Quintana-Ortí, G.2
  • 5
    • 0041682103 scopus 로고    scopus 로고
    • Argonne Preprint MCS-P560-0196, Mathematics and Computer Science Division, Argonne National Laboratory
    • C.H. Bischof, Codes for rank-revealing QR factorizations of dense matrices, Argonne Preprint MCS-P560-0196, Mathematics and Computer Science Division, Argonne National Laboratory, 1996.
    • (1996) Codes for Rank-Revealing QR Factorizations of Dense Matrices
    • Bischof, C.H.1
  • 6
    • 84946063031 scopus 로고
    • An improved algorithm for computing the SVD
    • T.F. Chan, An improved algorithm for computing the SVD, ACM Trans. on Math. Soft. 8 (1982) 72-83.
    • (1982) ACM Trans. on Math. Soft. , vol.8 , pp. 72-83
    • Chan, T.F.1
  • 8
    • 0001192187 scopus 로고
    • Computing small singular values of bidiagonal matrices with guaranteed high relative accuracy
    • J. Demmel, W. Kahan, Computing small singular values of bidiagonal matrices with guaranteed high relative accuracy, SIAM J. on Scientific and Statistical Computing 11 (1990) 873-912.
    • (1990) SIAM J. on Scientific and Statistical Computing , vol.11 , pp. 873-912
    • Demmel, J.1    Kahan, W.2
  • 11
    • 0000924593 scopus 로고
    • Numerical methods for solving linear least squares problems
    • G.H. Golub, Numerical methods for solving linear least squares problems. Numerische Mathematik 7 (1965) 206-216.
    • (1965) Numerische Mathematik , vol.7 , pp. 206-216
    • Golub, G.H.1
  • 12
    • 0000288016 scopus 로고
    • Calculating the singular values and pseudo-inverse of a matrix
    • G.H. Golub, W. Kahan, Calculating the singular values and pseudo-inverse of a matrix. SIAM J. on Numerical Analysis 2 (1965) 205-224.
    • (1965) SIAM J. on Numerical Analysis , vol.2 , pp. 205-224
    • Golub, G.H.1    Kahan, W.2
  • 13
    • 0003683914 scopus 로고
    • Rank degeneracy and least squares problems
    • University of Maryland, Dept. of Computer Science
    • G.H. Golub, V. Klema, G.W. Stewart, Rank degeneracy and least squares problems, Technical Report TR-456. University of Maryland, Dept. of Computer Science. 1976.
    • (1976) Technical Report TR-456
    • Golub, G.H.1    Klema, V.2    Stewart, G.W.3
  • 14
    • 0039252114 scopus 로고
    • A comparison between some direct and iterative methods for certain large scale geodetic least-squares problem
    • G.H. Golub, P. Manneback, P.L. Toint, A comparison between some direct and iterative methods for certain large scale geodetic least-squares problem, SIAM J. on Scientific and Statistical Computing 7 (1986) 799-816.
    • (1986) SIAM J. on Scientific and Statistical Computing , vol.7 , pp. 799-816
    • Golub, G.H.1    Manneback, P.2    Toint, P.L.3
  • 17
    • 0040198300 scopus 로고
    • Rank deficient interpolation and optimal design: An example
    • Boeing Computer Services, Engineering and Scientific Services Division
    • T.A. Grandine, Rank deficient interpolation and optimal design: An example, Technical Report SCA-TR 113, Boeing Computer Services, Engineering and Scientific Services Division, 1989.
    • (1989) Technical Report SCA-TR , vol.113
    • Grandine, T.A.1
  • 19
    • 0023538126 scopus 로고
    • A survey of condition number estimation of triangular matrices
    • N.J. Higham, A survey of condition number estimation of triangular matrices, SIAM Review 29 (1987) 575-596.
    • (1987) SIAM Review , vol.29 , pp. 575-596
    • Higham, N.J.1
  • 20
    • 0042683948 scopus 로고
    • Comparisons of truncated QR and SVD methods for AR spectral estimations
    • Elsevier, Amsterdam
    • S.F. Hsieh, J.R. Liu, K. Yao, Comparisons of Truncated QR and SVD methods for AR spectral estimations, in: Proceedings SVD and Signal Processing II, Elsevier, Amsterdam. 1991, pp. 403-418.
    • (1991) Proceedings SVD and Signal Processing II , pp. 403-418
    • Hsieh, S.F.1    Liu, J.R.2    Yao, K.3
  • 21
    • 0001362410 scopus 로고
    • The Levenberg-Marquardt algorithm: Implementation and theory
    • G.A. Watson (Ed.), Springer, Berlin
    • J. Moré, The Levenberg-Marquardt algorithm: Implementation and theory, in: G.A. Watson (Ed.), Proceedings of the Dundee Conference on Numerical Analysis, Springer, Berlin, 1978.
    • (1978) Proceedings of the Dundee Conference on Numerical Analysis
    • Moré, J.1
  • 22
    • 0042472674 scopus 로고
    • Argonne Preprint MCS-P332-1092, Mathematics and Computer Science Division, Argonne National Laboratory
    • C.-T. Pan, P.T.P. Tang, Bounds on singular values revealed by QR factorization. Argonne Preprint MCS-P332-1092, Mathematics and Computer Science Division, Argonne National Laboratory, 1992.
    • (1992) Bounds on Singular Values Revealed by QR Factorization
    • Pan, C.-T.1    Tang, P.T.P.2
  • 23
    • 0000841184 scopus 로고    scopus 로고
    • A BLAS-3 version of the QR factorization with column pivoting
    • Argonne Preprint MCS-P551-1295, Mathematics and Computer Science Division, Argonne National Laboratory. 1995. To appear
    • G. Quintana-Ortí, X. Sun, C.H. Bischof, A BLAS-3 version of the QR factorization with column pivoting, Argonne Preprint MCS-P551-1295, Mathematics and Computer Science Division, Argonne National Laboratory. 1995. To appear in SIAM J. Sci. Comp., 1998.
    • (1998) SIAM J. Sci. Comp.
    • Quintana-Ortí, G.1    Sun, X.2    Bischof, C.H.3
  • 25
    • 0003078924 scopus 로고
    • A storage efficient WY representation for products of householder transformations
    • R. Schreiber, C.F. van Loan, A storage efficient WY representation for products of householder transformations, Scientific and Statistical Computing 10 (1989) 53-57.
    • (1989) Scientific and Statistical Computing , vol.10 , pp. 53-57
    • Schreiber, R.1    Van Loan, C.F.2
  • 26
    • 0043184970 scopus 로고
    • An updating algorithm for subspace tracking
    • University of Maryland, Department of Computer Science
    • G.W. Stewart, An updating algorithm for subspace tracking, Technical Report CS-TR-2494, University of Maryland, Department of Computer Science, 1990.
    • (1990) Technical Report CS-TR-2494
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.