A direct method for speeding up the convergence of the furness biproportional method

This paper describes a direct non-iterative balancing technique which could be used as a complementary part to the Furness method to speed up the convergence to the final solution. This is particularly useful when the convergence of the Furness iterations is uneconomically slow and/or when high balancing accuracy is needed. The direct method however, might be used as a substitute to the Furness method in evaluating the consequences of a few alternative sets of small variations in the marginal totals of a two dimensional array.