According to the development of nonlinear blind source separation research, the post-nonlinear mixture is taken
as an indraft point to summarize its algorithms. The model of post-nonlinear mixtrue and its separability are presented,
meanwhile the existence and nonuniqueness of post-nonlinear blind source separation are discussed. Then the methods
are summarized, and the independence criterion based on the minimization of mutual information is introduced, also the
representative algorithms proposed continuously in recent years are analyzed and commented. Finally, the existing problems
and development tendency on the research of post-nonlinear blind source separation are generalized and expected.