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Volumn 21, Issue 4, 1999, Pages 1305-1320

Inexact preconditioned conjugate gradient method with inner-outer iteration

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; HEURISTIC METHODS; MATRIX ALGEBRA;

EID: 0033293064     PISSN: 10648275     EISSN: None     Source Type: None    
DOI: 10.1137/S1064827597323415     Document Type: Article
Times cited : (184)

References (12)
  • 1
    • 0041467212 scopus 로고
    • Some inequalities involving the Euclidean condition of a matrix
    • F.L. BAUER AND A.S. HOUSEHOLDER, Some inequalities involving the Euclidean condition of a matrix, Numer. Math., 2 (1960), pp. 308-311.
    • (1960) Numer. Math. , vol.2 , pp. 308-311
    • Bauer, F.L.1    Householder, A.S.2
  • 2
    • 0002540389 scopus 로고
    • A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations
    • J.R. Bunch and D.J. Rose, eds., Academic Press, New York, NY
    • P. CONCUS, G.H. GOLUB, AND D.P. O'LEARY, A Generalized Conjugate Gradient Method for the Numerical Solution of Elliptic Partial Differential Equations, in Sparse Matrix Computations, J.R. Bunch and D.J. Rose, eds., Academic Press, New York, NY, 1976.
    • (1976) Sparse Matrix Computations
    • Concus, P.1    Golub, G.H.2    O'Leary, D.P.3
  • 3
    • 0028741633 scopus 로고
    • Inexact and preconditioned Uzawa algorithms for saddle point problems
    • H.C. ELMAN AND G.H. GOLUB, Inexact and preconditioned Uzawa algorithms for saddle point problems, SIAM J. Numer. Anal., 31 (1994), pp. 1645-1661.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1645-1661
    • Elman, H.C.1    Golub, G.H.2
  • 4
    • 0000486448 scopus 로고    scopus 로고
    • Inner and outer iterations for the Chebyshev algorithm
    • E. GILADI, G.H. GOLUB. AND J.B. KELLER, Inner and outer iterations for the Chebyshev algorithm SIAM J. Numer. Anal., 35 (1998). pp. 300-319.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 300-319
    • Giladi, E.1    Golub, G.H.2    Keller, J.B.3
  • 5
    • 0013000334 scopus 로고
    • Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations
    • Numerical Analysis, G.A. Watson, ed., Springer, New York, Heidelberg, Berlin
    • G.H. GOLUB AND M.L. OVERTON. Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations, in Numerical Analysis, G.A. Watson, ed., Lecture Notes in Math. 912, Springer, New York, Heidelberg, Berlin, 1982, pp. 128-139.
    • (1982) Lecture Notes in Math. , vol.912 , pp. 128-139
    • Golub, G.H.1    Overton, M.L.2
  • 6
    • 0001263639 scopus 로고
    • The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems
    • G.H. GOLUB AND M.L. OVERTON, The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Numer. Math., 53 (1988), pp. 571-593.
    • (1988) Numer. Math. , vol.53 , pp. 571-593
    • Golub, G.H.1    Overton, M.L.2
  • 11
    • 0001403122 scopus 로고
    • The rate of convergence of conjugate gradients
    • A. VAN DER SLUIS AND H.A. VAN DER VORST, The rate of convergence of conjugate gradients, Numer. Math., 48 (1986), pp. 543-560.
    • (1986) Numer. Math. , vol.48 , pp. 543-560
    • Van Der Sluis, A.1    Van Der Vorst, H.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.