The same issue occurs if, instead of the starting point, any iteration point is stationary. If the function satisfies sufficient assumptions and the initial guess is close, then SOLUTION OF NONLINEAREQUATIONS Wewant tosolve HdtRHdtF 0 externallyappliedloadsnodal point forcescorrespondingtointernalelement stresses Loadingisdeformation-independent T.L. The most basic version starts with a single-variable function f defined for a real variable x, the function's derivative f′, and an initial guess x 0 for a root of f.

In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function. The Newton-Raphson method is one of the most widely used methods for root finding.

For Newton's method for finding minima, see Newton's method in optimization. This is a Kinematic and Static Analysis of a four-bar linkage done with Matlab - Four-bar-Linkage-Analysis/newtonraphson. But both Newton and Raphson viewed this method purely as an algebraic method and restricted its use to polynomials.

This article is about Newton's method for finding roots. The Newton-Raphson method, named after Isaac Newton (1671) and Joseph Raphson (1690), is a method for finding successively better approximations to the roots of a real-valued function.

Newton raphson method fourbar