:py:mod:`bempp.api.linalg.direct_solvers`
=========================================

.. py:module:: bempp.api.linalg.direct_solvers

.. autoapi-nested-parse::

   Bempp direct solver interface.



Module Contents
---------------


Functions
~~~~~~~~~

.. autoapisummary::

   bempp.api.linalg.direct_solvers.compute_lu_factors
   bempp.api.linalg.direct_solvers.lu



.. py:function:: compute_lu_factors(A)

   Precompute the LU factors of a dense operator A.

   This function returns a tuple of LU factors of A.
   This tuple can be used in the `lu_factor` attribute
   of the lu function so that the LU decomposition is
   not recomputed at each call to lu.



.. py:function:: lu(A, b, lu_factor=None)

   Perform an LU solve.

   This function takes an operator and a grid function,
   converts the operator into a dense matrix and solves
   the system via LU decomposition. The result is again
   returned as a grid function.

   Parameters
   ----------
   A : bempp.api.BoundaryOperator
        The left-hand side boundary operator
   b : bempp.api.GridFunction
        The right-hand side grid function
   lu_decomp : tuple
        Optionally pass the tuple (lu, piv)
        obtained by the scipy method scipy.linalg.lu_factor