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Volumn 100, Issue 1, 1998, Pages 1-9

Block SOR methods for rank-deficient least-squares problems

Author keywords

Block SOR method; Convergence; Least squares problem; Optimal parameter; Preconditioned iterative method; Rank deficient least squares problem

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING;

EID: 0032206067     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00114-9     Document Type: Article
Times cited : (63)

References (12)
  • 1
    • 0000654737 scopus 로고
    • A direct projection method for sparse linear systems
    • M. Benzi, C.D. Meyer, A direct projection method for sparse linear systems, SIAM J. Sci. Comput. 16(1995) 1159-1176.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 1159-1176
    • Benzi, M.1    Meyer, C.D.2
  • 2
    • 4243366276 scopus 로고    scopus 로고
    • Preconditioner for least squares problems by LU decomposition
    • Springer, Berlin, accepted
    • Å. Björck, J.Y. Yuan, Preconditioner for Least Squares Problems by LU Decomposition, Lecture Notes on Scientific Computing, Springer, Berlin, 1998, accepted.
    • (1998) Lecture Notes on Scientific Computing
    • Björck, Å.1    Yuan, J.Y.2
  • 3
    • 0038974475 scopus 로고
    • A note on two block SOR methods for sparse least-squares problems
    • R. Freund, A note on two block SOR methods for sparse least-squares problems, LAA, 88/89 (1987) 211-221.
    • (1987) LAA , vol.88-89 , pp. 211-221
    • Freund, R.1
  • 5
    • 0013403115 scopus 로고
    • Convergence of a direct-iterative method for large-scale least-squares problems
    • T.L. Markham, M. Neumann, R.J. Plemmons, Convergence of a direct-iterative method for large-scale least-squares problems, LAA 69(1985) 155-167.
    • (1985) LAA , vol.69 , pp. 155-167
    • Markham, T.L.1    Neumann, M.2    Plemmons, R.J.3
  • 6
    • 0012418796 scopus 로고
    • Successive overrelaxation methods for solving the rank deficient least squares problem
    • V.A. Miller, M. Neumann: Successive overrelaxation methods for solving the rank deficient least squares problem, LAA 88/89(1987) 533-557.
    • (1987) LAA , vol.88-89 , pp. 533-557
    • Miller, V.A.1    Neumann, M.2
  • 7
    • 0004722027 scopus 로고
    • Convergence of block iterative methods applied to sparse least squares problems
    • W. Niethammer, J. de Pillis, R.S. Varga, Convergence of block iterative methods applied to sparse least squares problems, LAA 58(1985) 327-341.
    • (1985) LAA , vol.58 , pp. 327-341
    • Niethammer, W.1    De Pillis, J.2    Varga, R.S.3
  • 12
    • 0039567425 scopus 로고    scopus 로고
    • Algebraic relationships between updating and downdating least-squares problems
    • in Chinese
    • J.Y. Yuan, R.J.B. de Sampaio, W. Sun, Algebraic relationships between updating and downdating least-squares problems, Numer. Math. J. Chinese Univ. 3(1996) 203-210 (in Chinese).
    • (1996) Numer. Math. J. Chinese Univ. , vol.3 , pp. 203-210
    • Yuan, J.Y.1    De Sampaio, R.J.B.2    Sun, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.