Analogue computer synthesis and error matrices

An evaluation of the actual solutions exhibited by an electronic analogue computer, and thus a measure of its accuracy and stability, requires the analysis of a physical system represented by a linear differential equation system of higher order than that of the mathematical problem being solved. To this situation the powerful and systematic methods of matrix analysis are applied, yielding expressions from which the degree of accuracy which may be attained in computer solutions may be determined and, in particular, evaluating the all-important problems of stability of the electronic networks.