07/02/2014, 08:14 PM
Is that clear ?
Does everyone know what I mean ?
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For those possibly confused ; the analyticity does not come from the contour integral being 0 , rather the opposite way. We have analyticity because of the truncated Taylor series estimate.
We need to be careful not to approximate a Taylor series that has a more limited region of convergeance then sexp*.
Our domain of analyticity should be larger than the figure and it should not have a natural boundary anywhere.
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I was thinking about adding a uniqueness condition.
It is not clear what our initial guess should be , that is if we want to use an initial guess.
My idea about methods related to integrals is that if you based your estimate on method A , then finally the result is equivalent to method A.
Perhaps a generalization is favorable.
The idea is imho intresting but not yet mature.
regards
tommy1729
Does everyone know what I mean ?
---
For those possibly confused ; the analyticity does not come from the contour integral being 0 , rather the opposite way. We have analyticity because of the truncated Taylor series estimate.
We need to be careful not to approximate a Taylor series that has a more limited region of convergeance then sexp*.
Our domain of analyticity should be larger than the figure and it should not have a natural boundary anywhere.
---
I was thinking about adding a uniqueness condition.
It is not clear what our initial guess should be , that is if we want to use an initial guess.
My idea about methods related to integrals is that if you based your estimate on method A , then finally the result is equivalent to method A.
Perhaps a generalization is favorable.
The idea is imho intresting but not yet mature.
regards
tommy1729
