The cycle time vector of D–A–D functions Original Research Article

It is of interest to find conditions under which the cycle time vector, image, of a topical function F, that is a function from image into itself which is homogeneous and nonexpansive in the l∞ norm, exists. For a class of topical functions associated with matrix scaling problems, we show that the cycle time vector exists and that it can be computed from the spectral radius of the function.