In this paper, we propose a numerical method using the circles of curvature for solving the equations in _R_1, whose order of convergence is cubic. Some numerical examples are given, for which the method works well, while there is shown an example failed by means of the Newton-Raphson's method.
Cite this article
Bong-kyu Park, Sin Hitotumatu, A New Method Using the Circles of Curvature for Solving Equations in <i>R</i><sup>1</sup>. Publ. Res. Inst. Math. Sci. 24 (1988), no. 2, pp. 249–252DOI 10.2977/PRIMS/1195175198