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

Abstract

A particular class of regular splittings of not necessarily symmetric <italic>M</italic>-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.