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I made some calculations and experiments related to this problem (in context of GPSR) and it seems that it is two-fold: one related to numerical stability of linear system solver and another more fundamental and related to the spectral structure of some generators. For example, G=4*X(0)+2.001*X(1) is handled perfectly, however G=4*X(0)+2*X(1) - fails. The first case has 4 distinct spectral gaps, 2 of which are very close to 8, the other - only three. It seems that such degeneracy in eigenspectrum breaks down the method because the numerical solver has to deal with linear equation system that has certain symmetry.
The text was updated successfully, but these errors were encountered:
As mentioned by @vytautas-a:
I made some calculations and experiments related to this problem (in context of GPSR) and it seems that it is two-fold: one related to numerical stability of linear system solver and another more fundamental and related to the spectral structure of some generators. For example,
G=4*X(0)+2.001*X(1)
is handled perfectly, howeverG=4*X(0)+2*X(1)
- fails. The first case has 4 distinct spectral gaps, 2 of which are very close to 8, the other - only three. It seems that such degeneracy in eigenspectrum breaks down the method because the numerical solver has to deal with linear equation system that has certain symmetry.The text was updated successfully, but these errors were encountered: