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The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations. (English) Zbl 0367.65018

MSC:
65F10 Iterative numerical methods for linear systems
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[1] Meuerink, J.A.; Van Der Vorst, H.A., An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix, Math. comp. January, (1977), to appear · Zbl 0349.65020
[2] Zimmerman, G.B., Numerical simulation of the high density approach to laser fusion, Lawrence livermore laboratory preprint, UCRL-74811, (1973), Livermore, Ca.
[3] Hestenes, M.R.; Stiefel, E., Methods of conjugate gradients for solving linear systems, Nat. bur. standards J. res., 49, 409-436, (1952) · Zbl 0048.09901
[4] Reid, J.K., On the method of conjugate gradients for the solution of large sparse systems of linear equations, () · Zbl 0259.65037
[5] Concus, P.; Golub, G.H.; O’Leary, D.P., A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations, (), Berkeley, Ca. · Zbl 0385.65048
[6] Fox, L., Practical solution of linear equations and inversion of matrices, Nat. bur. standards appl. math. ser., 39, 1-54, (1954) · Zbl 0058.10903
[7] Wilkinson, J.H., The algebraic eigenvalue problem, (1965), Oxford Univ. Press London, see Chapter 9, Section 2, for the power method and Chapter 6, Section 5, for a discussion of the Lanczos method · Zbl 0258.65037
[8] McMahon, F.H.; Sloan, L.J.; Long, G.A., Stacklibe—A vector function library of optimum stack-loops for the CDC 7600, (1976), Lawrence Livermore Laboratory publication UCID 30083 Livermore, Ca
[9] Wilkinson, J.H.; Reinsch, C., Linear algebra, (), Chapters II/8 and II/3 of the
[10] Concus, P.; Golub, G.H.; O’Leary, D.P.; Concus, P.; Golub, G.H.; O’Leary, D.P., A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations, (), 13, Berkeley, Ca. · Zbl 0385.65048
[11] \scT. A. Cutler, private communication.
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