JournalsprimsVol. 24 , No. 2DOI 10.2977/prims/1195175198

A New Method Using the Circles of Curvature for Solving Equations in <i>R</i><sup>1</sup>

  • Bong-kyu Park

    Yuhan Technical College, Puchon City, South Korea
  • Sin Hitotumatu

    Rikkyo (St. Paul's) University, Tokyo, Japan
A New Method Using the Circles of Curvature for Solving Equations in <i>R</i><sup>1</sup> cover

Abstract

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.