bluemira.structural.matrixops
=============================

.. py:module:: bluemira.structural.matrixops

.. autoapi-nested-parse::

   Matrix manipulation methods for finite element solver



Functions
---------

.. autoapisummary::

   bluemira.structural.matrixops.k_condensation
   bluemira.structural.matrixops.cyclic_decomposition


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

.. py:function:: k_condensation(k: numpy.ndarray, releases: numpy.ndarray) -> tuple[numpy.ndarray, numpy.ndarray]

   Section 6.5 in J.S. Prz..


.. py:function:: cyclic_decomposition(k: numpy.ndarray, p: numpy.ndarray, l_nodes: list[int], r_nodes: list[int]) -> tuple[numpy.ndarray, numpy.ndarray, list[numpy.ndarray]]

   Perform a cyclic symmetry decomposition of the stiffness matrix and load
   vector.

   :param k: The stiffness matrix to decompose
   :param p: The load vector to decompose
   :param l_nodes: The left nodes indices where a symmetry condition was specified
   :param r_nodes: The right node indices where a symmetry condition was specified

   :returns: * *k_cyc* -- The partitioned and ordered stiffness matrix
             * *p_cyc* -- The partitioned and ordered load vector
             * *selections* -- The list of left, right, and interior node selection arrays