tf.linalg.lu_reconstruct

The reconstruct one or more matrices from their LU decomposition(s).

View aliases

Compat aliases for migration

See Migration guide for more details.

tf.compat.v1.linalg.lu_reconstruct

tf.linalg.lu_reconstruct(
    lower_upper, perm, validate_args=False, name=None
)

Args
lower_upper	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. 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_reconstruct').

Returns
x	The original input to tf.linalg.lu, i.e., x as in, lu_reconstruct(*tf.linalg.lu(x)).

Examples

import numpy as np
import tensorflow as tf
import tensorflow_probability as tfp

x = [[[3., 4], [1, 2]],
     [[7., 8], [3, 4]]]
x_reconstructed = tf.linalg.lu_reconstruct(*tf.linalg.lu(x))
tf.assert_near(x, x_reconstructed)
# ==> True