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For a region of the complex frequency plane, the root finding algorithm cannot find the frequency corresponding to the specified l and n.
This region corresponds to 6 <= n, 3 <= l <= n, approximately, and is due to the presence of singularities in the Wronskian which drive the root finding algorithm away from it's (poor) initial guess and to the wrong root.
Possible fixes:
i) Improve initial guess in this region
ii) Within this range of l and n, cycle through l and n, generating lists which can be used to eliminate roots corresponding to indices other than the ones we're interested in.
iii) Find a way to specify, in general, the region that FindRoot should search, preventing FindRoot from being driven towards the incorrect root (linked to (i))
The text was updated successfully, but these errors were encountered:
For a region of the complex frequency plane, the root finding algorithm cannot find the frequency corresponding to the specified l and n.
This region corresponds to 6 <= n, 3 <= l <= n, approximately, and is due to the presence of singularities in the Wronskian which drive the root finding algorithm away from it's (poor) initial guess and to the wrong root.
Possible fixes:
i) Improve initial guess in this region
ii) Within this range of l and n, cycle through l and n, generating lists which can be used to eliminate roots corresponding to indices other than the ones we're interested in.
iii) Find a way to specify, in general, the region that FindRoot should search, preventing FindRoot from being driven towards the incorrect root (linked to (i))
The text was updated successfully, but these errors were encountered: