toqito.matrix_props.is_positive
===============================

.. py:module:: toqito.matrix_props.is_positive

.. autoapi-nested-parse::

   Checks if the matrix is positive.





Module Contents
---------------

.. py:function:: is_positive(input_mat)

   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].

   .. rubric:: 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))
   ```

   :param input_mat: Matrix of interest.