These PRNGs allow an easy theoretical analysis based on the linear structure of -dimensional overlapping tuples. A disadvantage of linear methods is their weakness with respect to splitting, which restricts the use of these methods in parallel simulations. Previous tests are necessary, if subsequences of a linear generator are used for a particular simulation problem.
Inversive generators are significantly slower than LCGs.
Nevertheless, these generators provide substantially different PRNs to control simulation results obtained by linear methods.