An Automatic Simultaneous Equation Computer and Its Use in Solving Secular Equations

Abstract

A feed-back method is described which is suitable for an automatic computer solving linear simultaneous equations and secular equations. This method is more general than is the Gauss-Siedel method. The design for an analog computer based on this feed-back method is outlined. This design utilizes resistive voltage dividers to represent coefficients and voltages to represent the variables. The variables are automatically adjusted by the feed-back system. The performance obtained on a 4-equation model is given. Usually an accuracy of better than one percent is obtained.