Three iterative solution procedures are reviewed: the variable metric method, the conjugate gradient method and dynamic relaxation. As a result of this review, a 'secant iterative method' is proposed which is related to both the variable metric and conjugate gradient techniques. The 'secant method' is better suited to structural analysis and may be used as an accelerated modified Newton-Raphson method for non-linear analysis. It may also be used in conjunction with a sub-divided coarse mesh/fine mesh structural idealisation. In its latter form it could be used for linear or non-linear analysis