Recent content by DespotDespond

Hi, Thanks for the response. The problem is related to an algorithm that I've constructed for optimising Markov decision processes. I'm trying to prove the global convergence of the algorithm. I don't want to go into any unnecessary detail, so I will try to explain as briefly as I can...

Indeed, R136a1 is correct. I want the convergence of the xn → x given the convergence of f(xn) → f(x). In this case, continuity of f is not enough. For example, f(x) = x2 is continuous, but if we define the two series as follows x1 = √2, x2 = -√2, x3 = √2, x4 = -√2, ... and y1 = 2...

Hi, I have a basic question about convergence. I have two sequences, x1, x2, ... and y1, y2, ..., where yn = f(xn) for some function f : ℝN → ℝ. I have shown that the sequence, y1, y2, ... converges. What conditions do I need on the function, f, to ensure that the sequence x1, x2...