For temporally evolving flows, the eigenvalue is the complex frequency and the problem becomes linear in the eigenvalue.
My research interests include the numerical solution of large-scale eigenvalue problems and differential equations.
These transformations are needed for the calculation of the eigenvectors during the eigenvalue refinement.
British Dictionary definitions for eigenvalue
(maths, physics) one of the particular values of a certain parameter for which a differential equation or matrix equation has an eigenfunction. In wave mechanics an eigenvalue is equivalent to the energy of a quantum state of a system