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.. module:: ezdxf.math.linalg
.. _math_linalg:
Linear Algebra
==============
Linear algebra module **for internal usage**: :mod:`ezdxf.math.linalg`
Functions
---------
.. autofunction:: gauss_jordan_solver
.. autofunction:: gauss_jordan_inverse
.. autofunction:: gauss_vector_solver
.. autofunction:: gauss_matrix_solver
.. autofunction:: tridiagonal_vector_solver
.. autofunction:: tridiagonal_matrix_solver
.. autofunction:: banded_matrix
.. autofunction:: detect_banded_matrix
.. autofunction:: compact_banded_matrix
.. autofunction:: freeze_matrix
Matrix Class
------------
.. autoclass:: Matrix
.. autoattribute:: nrows
.. autoattribute:: ncols
.. autoattribute:: shape
.. automethod:: reshape
.. automethod:: identity
.. automethod:: row
.. automethod:: iter_row
.. automethod:: col
.. automethod:: iter_col
.. automethod:: diag
.. automethod:: iter_diag
.. automethod:: rows
.. automethod:: cols
.. automethod:: set_row
.. automethod:: set_col
.. automethod:: set_diag
.. automethod:: append_row
.. automethod:: append_col
.. automethod:: swap_rows
.. automethod:: swap_cols
.. automethod:: transpose
.. automethod:: inverse
.. automethod:: determinant
.. automethod:: freeze
.. automethod:: lu_decomp
.. automethod:: __getitem__
.. automethod:: __setitem__
.. automethod:: __eq__
.. automethod:: __add__
.. automethod:: __sub__
.. automethod:: __mul__
LUDecomposition Class
---------------------
.. autoclass:: LUDecomposition
.. autoattribute:: nrows
.. automethod:: solve_vector
.. automethod:: solve_matrix
.. automethod:: inverse
.. automethod:: determinant
BandedMatrixLU Class
--------------------
.. autoclass:: BandedMatrixLU
.. attribute:: upper
Upper triangle
.. attribute:: lower
Lower triangle
.. attribute:: m1
Lower band count, excluding main matrix diagonal
.. attribute:: m2
Upper band count, excluding main matrix diagonal
.. attribute:: index
Swapped indices
.. autoattribute:: nrows
.. automethod:: solve_vector
.. automethod:: solve_matrix
.. automethod:: determinant
.. _Gauss-Jordan: https://en.wikipedia.org/wiki/Gaussian_elimination
.. _Gauss-Elimination: https://en.wikipedia.org/wiki/Gaussian_elimination
.. _LU Decomposition: https://en.wikipedia.org/wiki/LU_decomposition
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