How to stop an Iteration when the output converges (stops changing)

I have 2048 master equations, dp/dt = Tj - Ti(p) for 2048 states of a network where p is the probability at a specific time. Initial p of all the states is 1/2048. All the Tj and Ti values are given for all the equations. I need to solve all these master equations using the iterative method until the probability of each state does not change. I am applying simple iteration using the for loop. What will be the code of the condition to stop the loop of each of the equation differently when their respective values are not changing?

Answer 1

[Luis Gomes Perini]

Hi,

let's suppose that at iteration 'n' you have a probability 'p'. Then, for example, you can stop your loop when abs(p_n - p_{n-1}) < C , 'C' being a chosen value as 10^{-3}.

Sure, there exists many other stop criteria that might be more or less adapted for your problem.

Answer 2

[Rizwan Khan]

% break command can be used for this purpose

for i = 1:inf

...you code

if abs(p(i+1)-p(i)) < s % where s is very small value

break

else

return

end

end