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Third and Fourth-order iterative methods for solving systems of nonlinear equations
Anuradha Singh, J. P. Jaiswa
The object of the present paper is to extend the third-order iterative method for solving nonlinear equations into systems of nonlinear equations. Since our motive is to develop th…
Some Classes of third and Fourth-order iterative methods for solving nonlinear equations
J. P. Jaiswal
The object of the present work is to present the new classes of third-order and fourth-order iterative methods for solving nonlinear equations. Our third-order method includes meth…
A class of iterative methods for solving nonlinear equation with fourth-order convergence
J. P. Jaiswal
In this paper we established a class of optimal fourth-order methods which is obtained by existing third-order method for solving nonlinear equations for simple roots by using weig…
Extension of Newton-Steffenssen method by Gejji-Jafari decomposition Technique for solving nonlinear equations
J. P. Jaiswal
In this paper we extend Newton-Steffenssen method for solving nonlinear equations, introduced by Sharma [J.R. Sharma, A composite third order Newton-Steffenssen method for solving…
New Efficient Steffensen Type method for Solving Nonlinear Equations
J. P. Jaiswal
In the present paper, by approximating the derivatives in the Kou et al. \cite{Kou} fourth-order method by central difference quotient, we obtain new modification of this method fr…
A New Efficient Optimal Eighth-Order Iterative Method for Solving Nonlinear Equations
J. P. Jaiswal, Neha Choubey
We established a new eighth-order iterative method, consisting of three steps, for solving nonlinear equations. Per iteration the method requires four evaluations (three function e…