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\input zb-matheduc
\iteman{ZMATH 2009d.00536}
\itemau{Gupta, K. C.; Kanwar, V.; Kumar, Sanjeev}
\itemti{A family of ellipse methods for solving nonlinear equations.}
\itemso{Int. J. Math. Educ. Sci. Technol. 40, No. 4, 571-575 (2009).}
\itemab
Summary: This note presents a method for the numerical approximation of simple zeros of a non-linear equation in one variable. In order to do so, the method uses an ellipse rather than a tangent approach. The main advantage of our method is that it does not fail even if the derivative of the function is either zero or very small in the vicinity of the required root.
\itemrv{~}
\itemcc{N35}
\itemut{nonlinear equations; Newton's method; order of convergence}
\itemli{doi:10.1080/00207390902825336}
\end