Grassmann Point
The UQpy class GrassmannPoint offers a way to check whether a data point, given as a matrix
\(\mathbf{X} \in \mathbb{R}^{n \times p}\), belongs on the corresponding Grassmann manifold. The class takes, as
input, an orthonormal 2d numpy.ndarray i.e., \(\text{shape}(\mathbf{X})=(p, n)\), and checks if this matrix
is an orthonormal basis that lies with \(\mathbf{X}' \mathbf{X} = \mathbf{I}\) on the Grassmann manifold. If it is,
then it creates the corresponding GrassmannPoint object.
To use the GrassmannPoint class one needs to first import it by
>>> from UQpy.utilities.GrassmannPoint import GrassmannPoint
To create an object of type GrassmannPoint
>>> X = GrassmannPoint(X)