MATLAB: Calculate with initial value

equationiterationMATLAB

i=1;
Z(i)=1;
while true 
    Z(i) =1 + B - q.*B.*(((Z(i))-B)./(((Z(i))-B*sigma)*((Z(i))+epsi*B)))-Z(i); 
    i=i+1;
end

Best Answer

There is nothing that terminates the execution of the loop when convergence is reached. Thus, the while-loop will run until the vector, Z, exceeds "Maximum possible array" or something else throws an error. 
i=1;
Z(i)=1;
while true
    Z(i+1) = 1 + B - q.*B.*(((Z(i))-B)./(((Z(i))-B*sigma)*((Z(i))+epsi*B)));
    i = i+1;
end
Replace the loop by
tol = 1e-6;
i = 2;
Z(i)   = 1;
Z(i-1) = Z(i)+2*tol;
while abs(Z(i)-Z(i-1)) >= tol
    Z(i+1) = 1 + B - q.*B.*(((Z(i))-B)./(((Z(i))-B*sigma)*((Z(i))+epsi*B)));
    i = i+1;
end
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