spilu(A, drop_tol=None, fill_factor=None, drop_rule=None, permc_spec=None, diag_pivot_thresh=None, relax=None, panel_size=None, options=None)
The resulting object is an approximation to the inverse of A.
To improve the better approximation to the inverse, you may need to increase fill_factor AND decrease drop_tol.
This function uses the SuperLU library.
Sparse matrix to factorize. Most efficient when provided in CSC format. Other formats will be converted to CSC before factorization.
Drop tolerance (0 <= tol <= 1) for an incomplete LU decomposition. (default: 1e-4)
Specifies the fill ratio upper bound (>= 1.0) for ILU. (default: 10)
Comma-separated string of drop rules to use. Available rules: basic
, prows
, column
, area
, secondary
, dynamic
, interp
. (Default: basic,area
)
See SuperLU documentation for details.
Same as for splu
Object, which has a solve
method.
Compute an incomplete LU decomposition for a sparse, square matrix.
splu
import numpy as np
from scipy.sparse import csc_matrix
from scipy.sparse.linalg import spilu
A = csc_matrix([[1., 0., 0.], [5., 0., 2.], [0., -1., 0.]], dtype=float)
B = spilu(A)
x = np.array([1., 2., 3.], dtype=float)
B.solve(x)
A.dot(B.solve(x))
B.solve(A.dot(x))
The following pages refer to to this document either explicitly or contain code examples using this.
scipy.sparse.linalg._dsolve.linsolve:splu
Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.
Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)
SVG is more flexible but power hungry; and does not scale well to 50 + nodes.
All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them