It was a matter of estimating eigenvalues of non-self-adjoint differential equations and matrices. |
In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear. |
The protected polymorphism conditions are now given by the inequalities that the absolute values of these eigenvalues are larger than one. |
Hence, the three eigenvalues would be complex numbers that lie somewhere in the complex plane within the areas defined by those circles. |
Do you realize that's the pair-correlation function for the eigenvalues of a random Hermitian matrix? |
Weinstein's method was developed to give accurate bounds for eigenvalues of plates and membranes. |