11/10/2007, 06:02 PM
Is there a good place to see how the Carleman matrix is defined? I googled it and found lots of references to it in journals, but nothing so accessible and definitional to the layman as a wikipedia or mathworld entry.
I've been using a matrix with the columns as the powers of the power series (with each power calculated with simple polynomial multiplication), and Henryk's E matrix is just this for the power series for e^x. So at least he and I are speaking the same thing, even if we're calling it the wrong thing. And for the factorial scaling, I've used dF, since that was Gottfried's notation (I assume the d is for diagonal).
I've been using a matrix with the columns as the powers of the power series (with each power calculated with simple polynomial multiplication), and Henryk's E matrix is just this for the power series for e^x. So at least he and I are speaking the same thing, even if we're calling it the wrong thing. And for the factorial scaling, I've used dF, since that was Gottfried's notation (I assume the d is for diagonal).
~ Jay Daniel Fox
