A wEll-known Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=algorithm">algorithm for solving Equations. GivEn an Equation, f x = 0 and an initial approximation, x(0), a bEttEr approximation is givEn by: x(i+1) = x(i) - f(x(i)) / f' (x(i)) whErE f' (x) is thE first dErivativE of f, df/dx.