Eigenvalues and eigenvectors were computed by Jacobi rotation. |
Upon diagonalization of C, a set of eigenvalues and eigenvectors is generated defining a new set of generalized coordinates. |
The DATA matrix is then decomposed using Singular Value Decomposition, which yields the eigenvectors of the covariance matrix. |
In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear. |
Additionally we calculate the inner product between eigenvectors to compare the motion displayed in different simulations. |
From the calculated eigenfrequencies and eigenvectors, statistical measures of motion can be derived. |