The eigenvalue effective population size, equal to the leading eigenvalue of this matrix is derived.
In particular he proved results on the existence of matrices with given eigenvalues and given diagonal elements.
This is where those eigenvalues of random Hermitian matrices enter the picture.
There is, however, a way to obtain the kinetic matrix from the experimental eigenvalues and the eigenvectors directly.
It was a matter of estimating eigenvalues of non-self-adjoint differential equations and matrices.
Upon diagonalization of C, a set of eigenvalues and eigenvectors is generated defining a new set of generalized coordinates.
Then they sorted the eigenvectors according to the eigenvalues and divided them into three subsets.
In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
He showed that in this case the integral equation had real eigenvalues, and the solutions corresponding to these eigenvalues he called eigenfunctions.
In general, it is difficult to calculate the eigenvalues .