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Zbl 1232.65073
Khattri, Sanjay Kumar; Log, Torgrim
Derivative free algorithm for solving nonlinear equations. (English)
[J] Computing 92, No. 2, 169-179 (2011). ISSN 0010-485X; ISSN 1436-5057/e

The authors develop a simple yet practical approach for constructing derivative-free iterative methods for nonlinear equations. The approach starts from the classical Newton method and replaces the first-order derivative by finite difference approximation depending on a parameter.By appropriately selecting the parameter, methods with desired convergence orders are generated.
[Liu Xinguo (Qingdao)]
MSC 2000:
*65H05 Single nonlinear equations (numerical methods)

Keywords: iterative methods; higher order; Newton method; algorithm; derivative-free

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