lu as returned by tf.linalg.lu, i.e., if
matmul(P, matmul(L, U)) = X then lower_upper = L + U - eye.
perm
p as returned by tf.linag.lu, i.e., if
matmul(P, matmul(L, U)) = X then perm = argmax(P).
validate_args
Python bool indicating whether arguments should be checked
for correctness. Note: this function does not verify the implied matrix is
actually invertible, even when validate_args=True.
Default value: False (i.e., don't validate arguments).
name
Python str name given to ops managed by this object.
Default value: None (i.e., 'lu_matrix_inverse').
Returns
inv_x
The matrix_inv, i.e.,
tf.matrix_inverse(tfp.math.lu_reconstruct(lu, perm)).
Examples
import numpy as np
from tensorflow_probability.python.internal.backend import numpy as tf
import tensorflow_probability as tfp; tfp = tfp.substrates.numpy
x = [[[3., 4], [1, 2]],
[[7., 8], [3, 4]]]
inv_x = tfp.math.lu_matrix_inverse(*tf.linalg.lu(x))
tf.assert_near(tf.matrix_inverse(x), inv_x)
# ==> True
[[["Easy to understand","easyToUnderstand","thumb-up"],["Solved my problem","solvedMyProblem","thumb-up"],["Other","otherUp","thumb-up"]],[["Missing the information I need","missingTheInformationINeed","thumb-down"],["Too complicated / too many steps","tooComplicatedTooManySteps","thumb-down"],["Out of date","outOfDate","thumb-down"],["Samples / code issue","samplesCodeIssue","thumb-down"],["Other","otherDown","thumb-down"]],["Last updated 2023-11-21 UTC."],[],[]]