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 Applying the iteration methods to simpler functions bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 11/12/2007, 11:23 AM andydude Wrote:You are confusing Bell matrices and Carleman matrices again.No, I consistently swapped them till now! So for everyone the correct usage: The $n$-th row of the Carleman matrix contains the coefficients of the $n$-th power of the power series. The $n$-th column of the Bell matrix contains the coefficients of the $n$-th power of the power series. The Bell and Carleman matrix are transposed to each other. Quote:doing the choppy thing gives: $\mathbf{C}(\mathbf{B}_x[x + d] - \mathbf{I})\mathbf{D}= \left[\begin{tabular}{ccc} 1 & 0& 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \end{tabular}\right]\left[\begin{tabular}{ccc} 0 & d & d^2 & d^3 \\ 0 & 0 & 2d & 3d^2 \\ 0 & 0 & 0 & 3d \\ 0 & 0 & 0 & 0 \end{tabular}\right]\left[\begin{tabular}{ccc} 0 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{tabular}\right] = \left[\begin{tabular}{ccc} d & d^2 & d^3 \\ 0 & 2d & 3d^2 \\ 0 & 0 & 3d \end{tabular}\right]$ ... I wanted to show a matrix-based way of doing the chopping process. Thanks for this. « Next Oldest | Next Newest »

 Messages In This Thread Applying the iteration methods to simpler functions - by bo198214 - 11/05/2007, 11:39 PM RE: Applying the iteration methods to simpler functions - by Gottfried - 11/06/2007, 12:30 AM RE: Applying the iteration methods to simpler functions - by andydude - 11/06/2007, 03:32 AM RE: Applying the iteration methods to simpler functions - by bo198214 - 11/06/2007, 10:36 AM RE: Applying the iteration methods to simpler functions - by jaydfox - 11/09/2007, 05:34 AM RE: Applying the iteration methods to simpler functions - by bo198214 - 11/09/2007, 08:36 AM RE: Applying the iteration methods to simpler functions - by andydude - 11/12/2007, 09:40 AM RE: Applying the iteration methods to simpler functions - by Gottfried - 11/12/2007, 10:40 AM RE: Applying the iteration methods to simpler functions - by andydude - 11/13/2007, 12:39 AM RE: Applying the iteration methods to simpler functions - by bo198214 - 11/12/2007, 11:23 AM RE: Applying the iteration methods to simpler functions - by jaydfox - 11/12/2007, 04:41 PM

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