In attempting to experiment with Jacobi iteration for solution of linear equations, I entered the sequences:

U1(1) = 1

U1(N) = (4 - U2(N-1) + U3(N-1))/4U2(1) = 1

U2(N) = (2 - 2*U1(N-1) - U3(N-1))/5U3(1) = 1

U3(N) = (11 - U1(N-1))/3

Now there's nothing *mathematically* wrong with these, except that the HP Prime doesn't like them. I can't use "Eval" for any of the definitions, as that gives rise to a never-ending mess of iterated definitions. I would have hoped that these sequences could simply be evaluated "as is", but I can't find a way to do so. In fact, I can't even check any of the sequences for inclusion in the numerical listing of their values or for plotting.

Is there any way to coerce the HP Prime to perform this sort of interlinked iteration?