dubfi.linalg
============

.. py:module:: dubfi.linalg

.. autoapi-nested-parse::

   Linear algebra subpackage providing generic types and multiple concrete implementations.

   This subpackage provides a linear algebra framework for finite
   dimensional vector spaces over the real numbers defined in the
   modules :mod:`dubfi.linalg.types` and
   :mod:`dubfi.linalg.generic`
   The framework mainly consists the following components:

   1. :class:`dubfi.linalg.types.AbstractVector` for vectors
   2. :class:`dubfi.linalg.types.AbstractOperator` for linear
      maps (square matrices) acting on vectors
   3. :class:`dubfi.linalg.generic.ParametrizedVector` for
      vector-valued maps
   4. :class:`dubfi.linalg.generic.ParametrizedOperator` for
      operator-valued maps

   The implementations of the framework provide concrete implementations
   for these types as required for the flux inversion problem.
   Specifically, the observation operator is a vector-valued map, and the
   uncertainty matrix (R) is an operator-valued map.



Submodules
----------

.. toctree::
   :maxdepth: 1

   /autoapi/dubfi/linalg/csc_sparse/index
   /autoapi/dubfi/linalg/dense/index
   /autoapi/dubfi/linalg/generic/index
   /autoapi/dubfi/linalg/mpi_parent/index
   /autoapi/dubfi/linalg/mpi_worker/index
   /autoapi/dubfi/linalg/mpi_worker_main/index
   /autoapi/dubfi/linalg/segments/index
   /autoapi/dubfi/linalg/types/index