is_idempotent_matrix

forest.benchmarking.operator_tools.validate_operator.is_idempotent_matrix(matrix: numpy.ndarray, rtol: float = 1e-05, atol: float = 1e-08) → bool

Checks if a square matrix A is idempotent, \(A^2 = A\).

Parameters:

• matrix – a M by M matrix.
• rtol – The relative tolerance parameter in np.allclose
• atol – The absolute tolerance parameter in np.allclose

Returns:

True if the matrix is the idempotent; False otherwise.