statsmodels.multivariate.factor_rotation.procrustes¶
-
statsmodels.multivariate.factor_rotation.
procrustes
(A, H)[source]¶ Analytically solves the following Procrustes problem:
\[\phi(L) =\frac{1}{2}\|AT-H\|^2.\](With no further conditions on \(H\))
Under the assumption that \(A^*H\) has full rank, the analytical solution \(T\) is given by:
\[T = (A^*HH^*A)^{-\frac{1}{2}}A^*H,\]see Navarra, Simoncini (2010).
- Parameters
- Returns
The
matrix
\(T\).
References
[1] Navarra, Simoncini (2010) - A guide to empirical orthogonal functions for climate data analysis