The expression commonly given in the literature for the inherent error involved in the Newton-Raphson method is incorrect. New criteria are here derived which may be ...
Newton's Method is a technique for approximating a root to an equation of the form \(f(x)=0\). What is required is an initial estimate for the root, called \(x_1 ...
SIAM Journal on Numerical Analysis, Vol. 3, No. 1 (Mar., 1966), pp. 143-156 (14 pages) In the numerical solution of operator equations Fx = 0, discretization of the equation and then application of ...
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