A New Method Using the Circles of Curvature for Solving Equations in $R^1$

Bong-kyu Park; Sin Hitotumatu

doi:10.2977/prims/1195175198

JournalsprimsVol. 24, No. 2pp. 249–252

A New Method Using the Circles of Curvature for Solving Equations in $R^{1}$

Bong-kyu Park
Yuhan Technical College, Puchon City, South Korea
Sin Hitotumatu
Rikkyo (St. Paul's) University, Tokyo, Japan

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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.

Cite this article

Bong-kyu Park, Sin Hitotumatu, A New Method Using the Circles of Curvature for Solving Equations in $R^{1}$ . Publ. Res. Inst. Math. Sci. 24 (1988), no. 2, pp. 249–252

DOI 10.2977/PRIMS/1195175198