toqito.matrix_props.is_positive¶

Checks if the matrix is positive.

Module Contents¶

toqito.matrix_props.is_positive.is_positive(input_mat)[source]¶

Check if the matrix is positive.

When all the entries in the matrix are larger than zero the matrix of interest is a positive matrix [@WikiNonNegative].

!!! note: This function is different from [is_positive_definite][toqito.matrix_props.is_positive_definite], [is_totally_positive][toqito.matrix_props.is_totally_positive] and [is_positive_semidefinite][toqito.matrix_props.is_positive_semidefinite].

Examples

We expect a matrix full of 1s to be positive.

```python exec=”1” source=”above” import numpy as np from toqito.matrix_props import is_positive

input_mat = np.array([[1, 1, 1],[1, 1, 1],[1, 1, 1]])

print(is_positive(input_mat)) ```