
doi: 10.1137/0906032
The paper deals with the solution of a sparse system of symmetric positive definite linear equations by preconditioned conjugate gradient methods. Necessary and sufficient conditions are found for the applicability of preconditioners that are based on taking m steps of an iterative method. The computer implementation of these methods is discussed.
Iterative numerical methods for linear systems, Computational methods for sparse matrices, Numerical computation of matrix norms, conditioning, scaling, symmetric successive overrelaxation, preconditioned conjugate gradient, multi-color ordering
Iterative numerical methods for linear systems, Computational methods for sparse matrices, Numerical computation of matrix norms, conditioning, scaling, symmetric successive overrelaxation, preconditioned conjugate gradient, multi-color ordering
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