AN EFFICIENT PROCEDURE FOR SOLVING NON-LINEAR PROBLEMS IN ELECTRICAL ENGINEERING: HANTILA METHOD

In this paper we review the polarization fixed point method. The method is applicable to a very wide range of nonlinear field and circuits problems. Although it has a lower convergence speed than the widely used Newton-Raphson, the fixed point scheme presented here has several important advantages over its "competitor": (1) its guaranteed to converge (under simple enforceable criteria) and (2) it can be applied to a much wider range of problems. Furthermore, by using an overrelaxation procedure the method attains a convergence speed comparable to that of Newton-Raphson. We will also address the fact that currently established name of the method - the polarization method - is a misnomer and we will propose an alternative name.