def get_regularized_c(Ct=None, J=None, Mt=None):
"""apply the regularization (projection to divfree vels)
i.e. compute rC = C*[I-M^-1*J.T*S^-1*J] as
rCT = [I - J.T*S.-T*J*M.-T]*C.T
"""
raise UserWarning('deprecated - use more explicit approach to proj via ' +
'sadpoints systems as implemented in linalg_utils')
Nv, NY = Mt.shape[0], Ct.shape[1]
try:
rCt = np.load('data/regCNY{0}vdim{1}.npy'.format(NY, Nv))
except IOError:
print 'no data/regCNY{0}vdim{1}.npy'.format(NY, Nv)
MTlu = spsla.factorized(Mt)
auCt = np.zeros(Ct.shape)
# M.-T*C.T
for ccol in range(NY):
auCt[:, ccol] = MTlu(np.array(Ct[:, ccol].todense())[:, 0])
# J*M.-T*C.T
auCt = J * auCt
# S.-T*J*M.-T*C.T
auCt = lau.app_schurc_inv(MTlu, J, auCt)
rCt = Ct - J.T * auCt
np.save('data/regCNY{0}vdim{1}.npy'.format(NY, Nv), rCt)
return np.array(rCt)
def app_difffreeproj(v=None, J=None, M=None):
"""apply the regularization (projection to divfree vels)
i.e. compute v = [I-M^-1*J.T*S^-1*J]v
"""
vg = lau.app_schurc_inv(M, J, np.atleast_2d(J * v).T)
vg = spsla.spsolve(M, J.T * vg)
return v - vg
