An efficient homotopy method that can be easily implemented on SPICE

Abstract

Recently, an efficient homotopy method termed the variable gain Newton homotopy (VGNH) method has been proposed for finding DC operating points of nonlinear circuits. This method is not only very efficient but also globally convergent for any initial point. However, the programming of homotopy methods is often difficult for non-experts or beginners. In this paper, we propose an effective method for implementing the VGNH method on SPICE. By this method, we can implement a sophisticated VGNH method with various efficient techniques easily without programming, although we do not know the homotopy method well.