An optimal reordering schema of homotopy equations for the analysis of nonlinear resistive circuits

Homotopy-based simulation has been recently introduced in order to cope with the problem of finding the DC operating point of nonlinear resistive networks, when their equilibrium equations possess more than one solution. Although homotopy methods can overcome most of the convergence problems associated with the Newton-like methods, they still show several drawbacks, such as a slower speed of convergence. This paper introduces a method focussed on speeding up homotopy simulations. The method is based on an efficient reordering scheme of the nonlinear algebraic equations emanating from the circuit.