09/15/2007, 12:33 PM
Gottfried Wrote:I've one improvement, which supports the estimation of bounds and the control over the error in the numerical approximation.
This improvement needs a comment.
While it is indeed a theoretical improvement, it has numerically disadvantages, which I wasn't aware of in my previous posting.
The numerical results of the two ways of summing - the old way and the newly proposed way - are likely different; the approximations are not equivalent with truncated matrices. In fact, the new proposal resulted in smaller values than the old way, where the old way's results were apparently nearer to the true value - which can be shown, when the results are used as new input for the next iteration.
So here I need some more considerations; the terms of the new analytical solution are still the correct ones, but a better method for making things compatible, when truncated matrices are used, is required.
Gottfried
Gottfried Helms, Kassel
