11/30/2007, 05:15 PM
jaydfox Wrote:Once again, I got the bogus coefficients that grew with matrix size.
Well first of all, the Abel function of decremented exponentials \( e^x-1 \) is undefined at 0. This is because 0 is a fixed point of \( e^x-1 \). Since 0 is a fixed point, \( A(f(0)) = A(0) + 1 \) so \( A(0) = A(0) + 1 \) so 0 = 1 which is unsolvable. You can't find a solution at the origin, so maybe thats why It wasn't working. Another reason is that maybe since you were so close to zero, it acted like a singularity limiting the radius of convergence. Also, did you try this method for \( \ln(x+2)-\ln(2) \)?
Andrew Robbins
