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scipy L-BFGS silently converts to float, so view as floats when dealing with it.'

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jan 2017-12-27 01:44:45 -08:00
parent a70687f5e3
commit 66712efd49
1 changed files with 18 additions and 6 deletions
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fdfd_tools/bloch.py
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@ -392,7 +392,7 @@ def eigsolve(num_modes: int,
onto the space orthonormal to Z. If approx_grad is True, the approximate
inverse of the maxwell operator is used to precondition the gradient.
"""
z = Z.reshape(y_shape)
z = Z.view(dtype=complex).reshape(y_shape)
U = numpy.linalg.inv(z.conj().T @ z)
zU = z @ U
AzU = scipy_op @ zU
@ -402,26 +402,35 @@ def eigsolve(num_modes: int,
df_dy = scipy_iop @ (AzU - zU @ zTAzU)
else:
df_dy = (AzU - zU @ zTAzU)
return numpy.abs(f), numpy.sign(f) * numpy.real(df_dy).ravel()
df_dy_flat = df_dy.view(dtype=float).ravel()
return numpy.abs(f), numpy.sign(f) * df_dy_flat
'''
Use the conjugate gradient method and the approximate gradient calculation to
quickly find approximate eigenvectors.
'''
result = scipy.optimize.minimize(rayleigh_quotient,
numpy.random.rand(*y_shape),
numpy.random.rand(*y_shape, 2),
jac=True,
method='L-BFGS-B',
tol=1e-20,
options={'maxiter': 2000, 'gtol':0, 'ftol':1e-20 , 'disp':True})#, 'maxls':80, 'm':30})
result = scipy.optimize.minimize(lambda y: rayleigh_quotient(y, True),
result.x,
jac=True,
method='L-BFGS-B',
tol=1e-20,
options={'maxiter': 2000, 'gtol':0, 'disp':True})
result = scipy.optimize.minimize(lambda y: rayleigh_quotient(y, False),
result.x,
jac=True,
method='L-BFGS-B',
tol=1e-20,
options={'maxiter': 2000, 'ptol':1e-18, 'disp':True})
options={'maxiter': 2000, 'gtol':0, 'disp':True})
for i in range(20):
result = scipy.optimize.minimize(lambda y: rayleigh_quotient(y, False),
@ -429,10 +438,13 @@ def eigsolve(num_modes: int,
jac=True,
method='L-BFGS-B',
tol=1e-20,
options={'maxiter': 70, 'gtol':1e-18, 'disp':True})
options={'maxiter': 70, 'gtol':0, 'disp':True})
if result.nit == 0:
# We took 0 steps, so re-running won't help
break
z = result.x.reshape(y_shape)
z = result.x.view(dtype=complex).reshape(y_shape)
'''
Recover eigenvectors from Z