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Volumn 72, Issue 4, 1999, Pages 509-518

Preconditioned conjugate gradient method for rank deficient least-squares problems

Author keywords

2 block SOR method; 3 block SOR method; Comparison result; Least squares problems; Preconditioned conjugate gradient method; Rank deficient least squares problem

Indexed keywords

DIFFERENTIAL EQUATIONS; DOMAIN DECOMPOSITION METHODS; GRADIENT METHODS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING;

EID: 0004830096     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169908804872     Document Type: Article
Times cited : (13)

References (12)
  • 1
    • 0000696639 scopus 로고
    • On the rate of convergence of the preconditioned conjugate gradient method
    • Axelsson, O. and Lindskog, G. (1986). On the rate of convergence of the preconditioned conjugate gradient method, Numer. Math., 48, 499-523.
    • (1986) Numer. Math. , vol.48 , pp. 499-523
    • Axelsson, O.1    Lindskog, G.2
  • 4
    • 84918687597 scopus 로고
    • Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations, Linear Algebra and its role in Systems Theory
    • Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984
    • Campbell, S. L. (1985). Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations, Linear Algebra and its role in Systems Theory, Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984, Contemp. Math., 47, 51-63.
    • (1985) Contemp. Math. , vol.47 , pp. 51-63
    • Campbell, S.L.1
  • 6
    • 0029310115 scopus 로고
    • An implicit deflation method for ill-conditioned Sylvester and Lyapunov equations
    • Ghavimi, A. R. and Laub, A. J. (1995). An implicit deflation method for ill-conditioned Sylvester and Lyapunov equations, Int. J. Control, 61, 1119-1141.
    • (1995) Int. J. Control , vol.61 , pp. 1119-1141
    • Ghavimi, A.R.1    Laub, A.J.2
  • 7
    • 0039567430 scopus 로고    scopus 로고
    • Notes on Direct Projection Method
    • Department of Mathematics UFPR
    • Luo, Z., Yuan, J. Y. and Silva, B. P. B. (1997). Notes on Direct Projection Method, Technical Report, Department of Mathematics, UFPR.
    • (1997) Technical Report
    • Luo, Z.1    Yuan, J.Y.2    Silva, B.P.B.3
  • 12
    • 0039567428 scopus 로고    scopus 로고
    • Preconditioner for least squares problems by QR decomposition
    • Department of Mathematics, UFPR, Brazil
    • Silva, B. P. B. and Yuan, J. Y. (1997). Preconditioner for least squares problems by QR decomposition, Technical Report, Department of Mathematics, UFPR, Brazil.
    • (1997) Technical Report
    • Silva, B.P.B.1    Yuan, J.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.