Paper title: AN EFFICIENT PROCEDURE FOR SOLVING NON-LINEAR PROBLEMS IN ELECTRICAL ENGINEERING: HANTILA METHOD
Author(s): GEORGE-MARIAN VASILESCU, MIHAI MARICARU,
Abstract: 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.
Keywords: Electromagnetic field, Electrical circuits, Nonlinear, Fixed point, Hantila method Year: 2019 | Tome: 64 | Issue: 3 | Pp.: 187-194
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