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Use same variable names as in code

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This commit is contained in:
Jan Petykiewicz 2022-11-27 12:36:53 -08:00
parent 697770ce97
commit 09aa9761c6
1 changed files with 10 additions and 2 deletions
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12
meanas/fdfd/bloch.py
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@ -600,9 +600,17 @@ def eigsolve(
# Now know the direction (D), but need to find how far to go (alpha) # Now know the direction (D), but need to find how far to go (alpha)
# We are still minimizing E = tr((Z + alpha D)t A (Z + alpha D) U') # We are still minimizing E = tr((Z + alpha D)t A (Z + alpha D) U')
# = tr(ZtAZU' + alpha DtAZU' + alpha ZtADU' + alpha**2 DtADU') # = tr(ZtAZU' + alpha DtAZU' + alpha ZtADU' + alpha**2 DtADU')
# = tr((ZtAZ + 2 alpha sym(DtAZ) + alpha**2 DtAD) U')
# = tr(R U')
# = tr(R Qi) = tr(R inv(Q))
# where U' = inv((Z + alpha D)t (Z + alpha D)) # where
# = inv(ZtZ + alpha ZtD + alpha DtZ + alpha**2 DtD) # R = ZtAZ + 2 alpha sym(DtAZ) + alpha**2 DtAD
#
# Q = (Z + alpha D)t (Z + alpha D)
# = inv(ZtZ + alpha ZtD + alpha DtZ + alpha**2 DtD)
#
# Qi = inv(Q) = U'
AD = scipy_op @ D AD = scipy_op @ D
DtD = D.conj().T @ D DtD = D.conj().T @ D