matrix_props.kp_norm

Kp-norm for matrices.

Module Contents

Functions

kp_norm(mat, k, p)

Compute the kp_norm of vector or matrix.
matrix_props.kp_norm.kp_norm(mat, k, p)

Compute the kp_norm of vector or matrix.

Calculate the p-norm of a vector or the k-largest singular values of a matrix.

Examples

To compute the p-norm of a vector: >>> import numpy as np >>> from toqito.matrix_props import kp_norm >>> from toqito.states import bell >>> kp_norm(bell(0), 1, np.inf) 1

To compute the k-largest singular values of a matrix: >>> import numpy as np >>> from toqito.matrix_props import kp_norm >>> from toqito.rand import random_unitary >>> kp_norm(random_unitary(5), 5, 2) 2.2360679774997902

Parameters:

  • mat (numpy.ndarray) – 2D numpy ndarray

  • k (int) – The number of singular values to take.

  • p (int) – The order of the norm.

Returns:

The kp-norm of a matrix.

Return type:

float