jacobianSetAffineTransformation

Workspace.jacobianSetAffineTransformation(self: pyarts.arts._Workspace, jacobian_quantities: Optional[Union[pyarts.arts.WorkspaceVariable, pyarts.arts.ArrayOfRetrievalQuantity]] = self.jacobian_quantities, transformation_matrix: Union[pyarts.arts.WorkspaceVariable, pyarts.arts.Matrix], offset_vector: Union[pyarts.arts.WorkspaceVariable, pyarts.arts.Vector], verbosity: Optional[Union[pyarts.arts.WorkspaceVariable, pyarts.arts.Verbosity]] = self.verbosity) → None

Adds an affine transformation of the last element of jacobian_quantities.

See jacobianSetFuncTransformation() for a general description of how retrieval transformations are defined. Transformations are not applied by methods such as yCalc(). Instead, the method jacobianAdjustAndTransform() must be called to activate the transformations.

The affine transformation is specified by a transformation matrix, A, and an offset vector, b. These two are applied as described in jacobianSetFuncTransformation().

The transformations is applied as:

x = A * ( z - b )

where z is the retrieval quantity on the standard retrieval grids and x is the final state vector.

So far, the following must be true for valid A-matrices:

z = A' * x + b

That is, the reversed transformation is given by A transposed.

This method must only be called if an affine transformation is wanted. Default is to make no such tranformation at all.

Author(s): Simon Pfreundschuh

Parameters:

• jacobian_quantities (ArrayOfRetrievalQuantity, optional) – The retrieval quantities in the Jacobian matrix. See jacobian_quantities, defaults to self.jacobian_quantities [INOUT]

• transformation_matrix (Matrix) – The transformation matrix A. [IN]

• offset_vector (Vector) – The offset vector b. [IN]

• verbosity (Verbosity) – ARTS verbosity. See verbosity, defaults to self.verbosity [IN]