Problem with unconstrained optimization fminunc 'quasi-newton'

I tried to find the minimum of a function with the algorithm 'quasi-newton', but a message appeared to me. It says

"Local minimum possible. fminunc stopped because it cannot decrease the objective function along the current search direction."

criteria details

The followed path is detailed step-by-step below:
1)
function out =G(x)
a=x(1);
b=x(2);
out=(2*a.^2+8*b.^2-4*a)./exp(a.^2+b.^2-2*a-1);
end
2)x0=[1,0];
3)opts = optimoptions(@fminunc, 'Algorithm', 'quasi-newton');
4)[xopt,fopt]=fminunc(@G,x0,opts);
%It should work, because it seems to be rigorously done following all the rules. Nevertheless I suppose there is something wrong.
iterations: 1         
funcCount: 12          
stepsize: []    
lssteplength: []     
firstorderopt: 1.0729e-06         
algorithm: 'quasi-newton'           
message: 'Local minimum possible.…
Thank you very much in advance

Answer 1

[Alan Weiss]

If you want to examine the quality of the solution, see the documentation on "local minimum possible".

Alan Weiss

MATLAB mathematical toolbox documentation