def _matmul_linear_operator_tril_diag(linop_triangular, linop_diag):
return linear_operator_lower_triangular.LinearOperatorLowerTriangular(
tril=linop_triangular.to_dense() * linop_diag.diag,
is_non_singular=registrations_util.combined_non_singular_hint(
linop_diag, linop_triangular),
# This is safe to do since the Triangular matrix is only self-adjoint
# when it is a diagonal matrix, and hence commutes.
is_self_adjoint=registrations_util.combined_commuting_self_adjoint_hint(
linop_diag, linop_triangular),
is_positive_definite=None,
is_square=True)
def _add(self, op1, op2, operator_name, hints):
if _type(op1) in _EFFICIENT_ADD_TO_TENSOR:
op_add_to_tensor, op_other = op1, op2
else:
op_add_to_tensor, op_other = op2, op1
return linear_operator_lower_triangular.LinearOperatorLowerTriangular(
tril=op_add_to_tensor.add_to_tensor(op_other.to_dense()),
is_non_singular=hints.is_non_singular,
is_self_adjoint=hints.is_self_adjoint,
is_positive_definite=hints.is_positive_definite,
name=operator_name)
def _cholesky_linear_operator(linop):
return linear_operator_lower_triangular.LinearOperatorLowerTriangular(
linalg_ops.cholesky(linop.to_dense()),
is_non_singular=True,
is_self_adjoint=False,
is_square=True)
