메뉴 건너뛰기




Volumn 23, Issue 6, 2002, Pages 2165-2182

A block orthogonalization procedure with constant synchronization requirements

Author keywords

Gram Schmidt; Householder; Orthogonalization; Poincar ; QR factorization; Singular value decomposition

Indexed keywords

ERROR ANALYSIS; MATRIX ALGEBRA; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING; VECTORS;

EID: 0036447603     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827500370883     Document Type: Article
Times cited : (96)

References (24)
  • 1
    • 0002168778 scopus 로고
    • Solving linear least squares problems by Gram-Schmidt orthogonalization
    • Å. Björck, Solving linear least squares problems by Gram-Schmidt orthogonalization, BIT, 7 (1967), pp. 1-21.
    • (1967) BIT , vol.7 , pp. 1-21
    • Björck, Å.1
  • 2
    • 0000585494 scopus 로고
    • Numerics of Gram-Schmidt orthogonalization
    • Å. Björck, Numerics of Gram-Schmidt orthogonalization, Linear Algebra Appl., 198 (1994), pp. 297-316.
    • (1994) Linear Algebra Appl. , vol.198 , pp. 297-316
    • Björck, Å.1
  • 3
    • 0001688779 scopus 로고
    • Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm
    • Å. Björck and C.C. Paige, Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 176-190.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 176-190
    • Björck, Å.1    Paige, C.C.2
  • 7
    • 84966217951 scopus 로고
    • Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization
    • J.W. Daniel, W.B. Gragg, L. Kaufman, and G.W. Stewart, Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization, Math. Comp., 30 (1976), pp. 772-795.
    • (1976) Math. Comp. , vol.30 , pp. 772-795
    • Daniel, J.W.1    Gragg, W.B.2    Kaufman, L.3    Stewart, G.W.4
  • 10
    • 0011949823 scopus 로고
    • Technical Report TH 80-02, Angewandte Mathematik, ETH Zurich, Zurich, Switzerland
    • W. Gander, Algorithms for the QR Decomposition, Technical Report TH 80-02, Angewandte Mathematik, ETH Zurich, Zurich, Switzerland, 1980.
    • (1980) Algorithms for the QR Decomposition
    • Gander, W.1
  • 12
    • 0001707575 scopus 로고
    • The block Lanczos method for computing eigenvalues
    • J.R. Rice, ed., Academic Press, New York
    • G.H. Golub and R. Underwood, The block Lanczos method for computing eigenvalues, in Mathematical Software III, J.R. Rice, ed., Academic Press, New York, 1977, pp. 361-377.
    • (1977) Mathematical Software III , vol.3 , pp. 361-377
    • Golub, G.H.1    Underwood, R.2
  • 13
    • 0024776757 scopus 로고
    • Iterative algorithms for Gram-Schmidt orthogonalization
    • W. Hoffman, Iterative algorithms for Gram-Schmidt orthogonalization, Computing, 41 (1989), pp. 335-348.
    • (1989) Computing , vol.41 , pp. 335-348
    • Hoffman, W.1
  • 14
    • 0001065610 scopus 로고
    • Stability analysis and improvement of the block Gram-Schmidt algorithm
    • W. Jalby and B. Philippe, Stability analysis and improvement of the block Gram-Schmidt algorithm, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 1058-1073.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 1058-1073
    • Jalby, W.1    Philippe, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.