
05587699
j
2009d.00536
Gupta, K. C.
Kanwar, V.
Kumar, Sanjeev
A family of ellipse methods for solving nonlinear equations.
Int. J. Math. Educ. Sci. Technol. 40, No. 4, 571575 (2009).
2009
Taylor \& Francis, Abingdon, Oxfordshire
EN
N35
nonlinear equations
Newton's method
order of convergence
doi:10.1080/00207390902825336
Summary: This note presents a method for the numerical approximation of simple zeros of a nonlinear 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.