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daicong

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function [r,n]=mulNewton(x0,eps)   % to define the function
if nargin==1   % numbers of output variable
eps=1.0e-4;    % accuracy degree
end
r=x0-myf(x0)*inv(dmyf(x0));
n=1;
tol=1e-6;   % absolute limit of error. Generally is 1e-6t.
while tol>eps
xo=r;
x=x0-myf(x0)*inv(dmyf(x0));
tol=norm(x-x0);
n=n+1;
if(n>1000000)
disp('function may not be converged with too many iterative steps')
return;
end
end
function f=myf(x)
x1=x(1);
x2=x(2);
f1=(x1)*(x1)+exp(-(x2))-10;
f2=(x1)*(x2)-5;
f=[f1 f2];
function df=dmyf(x)
x1=x(1);
x2=x(2);
df=[2*(x1) (-exp(-(x2)));x2 x1];
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