11/07/2007, 02:10 PM
bo198214 Wrote:Sorry, the Eigensystem decomposition for Bs truncated to n is unqiue (up to permutations of eigenvalues), how can there be two solutions???
Hmm, we are talking about truncated matrices only as approximations, no?
When I compute the eigensystem not by numerical eigensystem-solver for finite matrices (as implemented in a software) but based on an analytical description of each entry, then I actually work with finite truncations of an assumed infinite matrix, which may provide multiple solutions for the same composed theoretical result matrix.
1/2 - 1/4 + 1/8 - ... = 1 - 2 + 4 -8 ... independently of the fact, that all finite truncations of lhs and rhs are different (and even do not converge to the same value)
Don't we agree in this?
Gottfried Helms, Kassel