An interval algorithm for finding all solutions of nonlinear resistive circuits

An efficient algorithm is proposed for finding all solutions of nonlinear (not piecewise-linear) resistive circuits with mathematical certainty. This algorithm is based on interval analysis, the dual simplex method, and the contraction method. By numerical examples, it is shown that the proposed algorithm could find all solutions of systems of 500 /spl sim/ 700 nonlinear circuit equations in acceptable computation time.