Question
MATLAB QUESTION: please do not solve if you do not have matlab Suppose f and its derivative are defined at xc . (The c is
MATLAB QUESTION: please do not solve if you do not have matlab
Suppose f and its derivative are defined at xc . (The c is for current.) The tangent line to f at xc has a zero at x+ = xc f (xc )/f (xc) assuming that f(xc) = 0. See Figure 5.4. Newtons method for finding a zero of the function f is based upon the repeated use of this formula. Complete the following function so that it performs as specified:
function [xc,fEvals] = Newton(f,fp,x0,delta,fEvalMax)
% f is a handle to a continuous function f(x) of a single variable.
% fp is a handle to the derivative of f.
% x0 is an initial guess to a root of f.
% delta is a positive real number.
% fEvalsMax is a positive integer >= 2 that indicates the maximum
% number of f-evaluations allowed.
% % Newtons method is repeatedly applied until the current iterate xc
% has the property that |f(xc)| <= delta. If that is not the case
% after fEvalsMax function evaluations, then xc is the current iterate.
% % fEvals is the number of f-evaluations required to obtain xc.
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