Issue with fsolve tolerance

I am using fsolve to solve an overdetermined system of equations using the levenberg marquadt algorithm.

It works fine although giving the message "Equation solved, fsolve stalled." This is fine for 90% of my cases.

However, for particular systems of equations, my function value that is returned (fval) after saying that the equation is solved (with fsolve stalled) is

0.009486931983140

-0.035516210533842

-0.019252250306780

which is unacceptable for my need.

Since the default function tolerance is 1e-6, why does it accept this as a solution?

Answer 1

[Mohit Kumar]

Turns out function tolerance is compared with norm(fval)^2and the default tolerance was 1e-3. Simply changed it to 1e-10 (in accordance with my need) and its working well.