ParametricOpInfOperator#

class ParametricOpInfOperator[source]#

Template for operators that depend on external parameters, and which can be calibrated through operator inference, i.e., ${\hat{\mathbf{f}}}_{\ell }(\hat{\mathbf{q}},\mathbf{u};\mathit{\mu })={\hat{\mathbf{O}}}_{\ell }(\mathit{\mu }){\mathbf{d}}_{\ell }(\hat{\mathbf{q}},\mathbf{u})$.

Properties:

entries#

Arrays that define the operator matrix as a function of the parameter vector.

parameter_dimension#

Dimension $p$ of the parameter vector $\mathit{\mu }$ that the operator matrix depends on.

shape#

Shape of the operator matrix when evaluated at a parameter value.

state_dimension#

Dimension $r$ of the state $\hat{\mathbf{q}}$ that the operator acts on.

Methods:

apply	Apply the operator to the given state and input at the specified parameter value, ${\hat{\mathbf{f}}}_{\ell }(\hat{\mathbf{q}},\mathbf{u};\mathit{\mu })$.
copy	Return a copy of the operator.
datablock	Return the data matrix block corresponding to the operator.
evaluate	Evaluate the operator at the given parameter value, resulting in a nonparametric operator.
galerkin	Get the (Petrov-)Galerkin projection of this operator.
jacobian	Construct the state Jacobian of the operator, $\frac{\partial }{\partial \hat{\mathbf{q}}}{\hat{\mathbf{f}}}_{\ell }(\hat{\mathbf{q}},\mathbf{u};\mathit{\mu })$.
load	Load an operator from an HDF5 file.
operator_dimension	Number of columns in the total operator matrix.
save	Save the operator to an HDF5 file.
set_entries	Set the arrays that define the operator matrix as a function of the parameter vector.
verify	Verify dimension attributes and evaluate().