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2. Write a function fixed-point_iteration that inputs a function g, an initial g

ID: 3751189 • Letter: 2

Question

2. Write a function fixed-point_iteration that inputs a function g, an initial guess ro, an error tolerance tol, 1 and a maximum number of iterations N, and approximates a fixed point c of g using fixed-point iteration. Your r function should estimate error as err--1l and halt when err N, whichever happens first. The function signature should be as follows: function [c, n, err] fixed-point-iteration(g, ro, tol, N) = Use your code to solve z - g(x), g: for r e-1,1], with tol how many iterations were needed. 1010. State your initial guess and

Explanation / Answer

%computes approximate solution of g(x)=x

%input:function handle g,starting guess x0,

% number of iteration steps N

%output: Approximate solution xc

function xc[c.n,err]=fixed_pointer_iteration(g,x0,t01,N)

x(1)=x0

for i=1:N

x(i+1)=g(x(i));

end

xc=x(N+1);

here,

we know x=g(x)

g:x->e^-x

using the above code

x(1)=e^0=1

x(1+1)=X(2)

x(2)=e^1=2.718

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