11/10/2009, 12:44 AM

So I guess I should rephrase the statement as:

which may provide a useful shortcut to showing whether or not intuitive/natural iteration even works. Suppose we make a Cramer's rule matrix with all the same entries of , except the first column is replaced with (1, 0, 0, 0, ...) so we can solve for . Let , then if the limit exists, which is a rational polynomial mess.

If we take into account the above formula, then

which may provide a clear path to answering the question of convergence.

which may provide a useful shortcut to showing whether or not intuitive/natural iteration even works. Suppose we make a Cramer's rule matrix with all the same entries of , except the first column is replaced with (1, 0, 0, 0, ...) so we can solve for . Let , then if the limit exists, which is a rational polynomial mess.

If we take into account the above formula, then

which may provide a clear path to answering the question of convergence.