We will present the Newton-Raphson algorithm, and the secant method. A MATLAB function for the Newton-Raphson method. The function.MATLAB has many tools that make this package well suited for numerical computations. The Newton-Raphson method for systems of nonlinear equations.The Newton-Raphson method, or Newton Method, is a powerful technique. Interesting is Section 3, where the birth of the N...

The Newton-Raphson (N-R) method is useful to find the roots of a polynomial degree n. However, this limited since it diverges for case in which polynomials only have complex if real initial condition taken. In present work, we explain an iterative that created using fractional calculus, will call Fractional (F N-R) Method, has ability enter space numbers given condition, allows us both and unli...

In this paper, a new iterative method for solving the system of nonlinear equations is suggested based on Newton-Raphson method and homotopy analysis method. Comparison of the result obtained by present method with Newton-Raphson method and homotopy perturbation method reveals that the accuracy and fast convergence of the proposed method.

In the following paper, we present a way to accelerate speed of convergence fractional Newton–Raphson (F N–R) method, which seems have an order at least linearly for case in α derivative is different from one. A simplified constructing Riemann–Liouville (R–L) operators, integral and presented along with examples its application on functions. Furthermore, introduction Aitken’s method made it exp...

This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, and Thomas Simpson. It is shown how Newton's formulation differed from the iterative process of Raphson, and that Simpson was the first o give a general formulation, interms of fluxional calculus,...

introduction we aimed to introduce a 6-universal-prismatic-spherical (ups) parallel mechanism for the human jaw motion and theoretically evaluate its kinematic problem. we proposed a strategy to provide a fast and accurate solution to the kinematic problem. the proposed strategy could accelerate the process of solution-finding for the direct kinematic problem by reducing the number of required ...

A quadratically convergent valence bond self-consistent field method is described where the simultaneous optimisation of orbitals and the coefficients of the configurations (VB structures) is based on a Newton-Raphson scheme. The applicability of the method is demonstrated in actual calculations. The convergence and efficiency are compared with the Super-CI method. A necessary condition to achi...