On the solution of symmetric linear systems by the preconditioned conjugate gradient method

References

• Axelsson , O. 1986 . A general in complete block-matrix factorization method . Lenear Algebra Appl , 74 : 179 – 190 .
   Web of Science ®Google Scholar
• Axelsson , O. and Barker , V. A. 1984 . “ Finite Element Solutions of Boundary Value Problems ” . New York : Academic Press .
   Google Scholar
• Axelsson , O. and Brinkkemper , S. 1984 . On some versions of incomplete block-matrix factorization iterative methods . Linear Algebra Appl , 58 : 3 – 15 .
   Web of Science ®Google Scholar
• Axelsson O. Eijkhout V. Robust Vectorizable preconditioners for Three-dimensional Elliptic Difference Equations with anisotropy Algorithms and applications on vector and parallel computers Amsterdam 1985-86 279 306
   Google Scholar
• Axelsson , O. and Lindskog , G. 1986 . On the eigenvalue distribution of a class of preconditioning methods . Numer. Math , 48 : 479 – 498 .
   Web of Science ®Google Scholar
• Axelsoon , O. and Lindskog , G. 1986 . On the rate of convergence of the preconditioned conjugate gradient method . Numer. Math , 48 : 499 – 523 .
   Google Scholar
• Axelsson , O. and Gustafsson , I. 1983 . Preconditioning and Two-Level Multigrid Methods of Arbitary Degree of Approximation . Math. Comput , 40 : 219 – 242 .
   Web of Science ®Google Scholar
• Concus , P. , Colub , G. H. and Meurant , G. 1985 . Block preconditioning for the conjugate gradient method . J. Sci. Stat. Comput , 6 : 220 – 252 .
   Web of Science ®Google Scholar
• Gustafsson , I. 1978 . A class of first order factorization methods . 18 : 142 – 156 .
   Google Scholar
• Meijerink , J. A. and van der Vorst , H. A. 1977 . An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix . Math. Comput , 31 : 148 – 162 .
   Web of Science ®Google Scholar
• Meijerink , J. and van der Vorst , H. A. 1981 . Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems . J. Comp. Utational Physics V. , 44 : 134 – 155 .
   Web of Science ®Google Scholar
• Varga , R. S. 1960 . “ Factorization and normalized iterative methods. In: Boundary problems in differential equations ” . Edited by: Langer , R. E. Madison : Madison University of Wisconsin Press .
   Google Scholar