An iterative solution method for linear systems of which the coefficient matrix is a symmetric 𝑀-matrix

J. A. Meijerink, Henk A. van der Vorst Β· Mathematics of Computation Β· 1977

A particular class of regular splittings of not necessarily symmetric M -matrices is proposed. If the matrix is symmetric, this splitting is combined with the conjugate-gradient method to provide a fast iterative solution algorithm. Comparisons have been made with other well-known methods. In all test problems the new combination was faster than the other methods.

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