% matlab script to demonstrate Newton iteration in higher dimensions
% the system of nonlinear equations to be solved is defined in function f
% the Jacobian of f is defined in function Jf
xOld = input('Enter initial guess: ');
tol = input('Enter error tolerance: ');
error = 1;
count = 0;
while (error > tol),
% this is what you want to do ...
% xNew = xOld - inv(Jf(xOld))*f(xOld)
% this is how you do it ...
xNew = xOld - Jf(xOld)f(xOld)
count = count + 1
error = norm(xNew-xOld)+4*eps*norm(xNew)
xOld = xNew;
pause
end
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