An Iterative Method for Solution of Networks of Nonlinear Monotone Resistors

Abstract

This paper describes and proves convergence of a direct iteration method for solving networks composed of independent sources and nonlinear resistors, each of whose resistors has a continuous monotonically increasing characteristic with slope bounded from above and below by positive constants. The computer program which was written to implement this method is discussed in the second part of the paper. Mention is made of a heuristic refinement which in many cases was found to reduce significantly the time required for solution.