Abstract:
This article discusses Bisectrix Newton’s method to solve a nonlinear equation. The
method is obtained by applying bisectrix rule of two gradient lines derived from the
application of two iterations of Newton’s method in a row. Analytically it is shown
that this method has a third order of convergence. Computational tests show that
Bisectrix Newton’s method is better than Newton’s method in terms of the number
of iterations for obtaining a root of a nonlinear equation.