1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
|
.. module:: ezdxf.math.linalg
.. _math_linalg:
Linear Algebra
==============
Linear algebra module **for internal usage**: :mod:`ezdxf.math.linalg`
Functions
---------
.. autofunction:: tridiagonal_vector_solver
.. autofunction:: tridiagonal_matrix_solver
.. autofunction:: banded_matrix
.. autofunction:: detect_banded_matrix
.. autofunction:: compact_banded_matrix
Matrix Class
------------
.. autoclass:: Matrix
.. autoattribute:: nrows
.. autoattribute:: ncols
.. autoattribute:: shape
.. automethod:: append_col
.. automethod:: append_row
.. automethod:: col
.. automethod:: cols
.. automethod:: determinant
.. automethod:: diag
.. automethod:: freeze
.. automethod:: identity
.. automethod:: inverse
.. automethod:: isclose
.. automethod:: reshape
.. automethod:: row
.. automethod:: rows
.. automethod:: set_col
.. automethod:: set_diag
.. automethod:: set_row
.. automethod:: transpose
.. automethod:: __getitem__
.. automethod:: __setitem__
.. automethod:: __eq__
.. automethod:: __add__
.. automethod:: __sub__
.. automethod:: __mul__
NumpySolver
-----------
.. autoclass:: NumpySolver
.. automethod:: solve_vector
.. automethod:: solve_matrix
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
.. _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
|
