# compute_fp¶

Filename: compute_fp.py Authors: Thomas Sargent, John Stachurski

Compute the fixed point of a given operator T, starting from specified initial condition v.

quantecon.compute_fp.compute_fixed_point(T, v, error_tol=0.001, max_iter=50, verbose=1, print_skip=5, *args, **kwargs)[source]

Computes and returns $$T^k v$$, an approximate fixed point.

Here T is an operator, v is an initial condition and k is the number of iterates. Provided that T is a contraction mapping or similar, $$T^k v$$ will be an approximation to the fixed point.

Parameters: T : callable A callable object (e.g., function) that acts on v v : object An object such that T(v) is defined error_tol : scalar(float), optional(default=1e-3) Error tolerance max_iter : scalar(int), optional(default=50) Maximum number of iterations verbose : bool, optional(default=True) If True then print current error at each iterate. args, kwargs : Other arguments and keyword arguments that are passed directly to the function T each time it is called v : object The approximate fixed point