scipy.linalg.helmert#
- scipy.linalg.helmert(n, full=False)[source]#
Create an Helmert matrix of order n.
This has applications in statistics, compositional or simplicial analysis, and in Aitchison geometry.
- Parameters:
- nint
The size of the array to create.
- fullbool, optional
If True the (n, n) ndarray will be returned. Otherwise the submatrix that does not include the first row will be returned. Default: False.
- Returns:
- Mndarray
The Helmert matrix. The shape is (n, n) or (n-1, n) depending on the full argument.
Examples
>>> from scipy.linalg import helmert >>> helmert(5, full=True) array([[ 0.4472136 , 0.4472136 , 0.4472136 , 0.4472136 , 0.4472136 ], [ 0.70710678, -0.70710678, 0. , 0. , 0. ], [ 0.40824829, 0.40824829, -0.81649658, 0. , 0. ], [ 0.28867513, 0.28867513, 0.28867513, -0.8660254 , 0. ], [ 0.2236068 , 0.2236068 , 0.2236068 , 0.2236068 , -0.89442719]])