The analysis seminar offers a venue for research, tutorial and expository talks in the area of analysis.
See below for upcoming seminars or access the seminar archive.
Organizers
Elaine Cozzi and David Finch.
Timing
Mondays at noon
Inverse Iteration for the Laplace Eigenvalue Problem with Robin and Mixed Boundary Conditions
STAG 110
Speaker: Nicholas Zitzelberger
Inverse iteration is a tool used in operator theory to investigate the spectral properties of a linear operator. We apply the method of inverse iteration to the Laplace eigenvalue problem with Robin and mixed Dirichlet-Neumann boundary conditions, respectively. For each problem, we prove convergence of the iterates to a non-trivial principal eigenfunction and show that the corresponding Rayleigh quotients converge to the principal eigenvalue. We also propose a related iterative method for an… Read more.