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Spectral Properties of Limit-Periodic Schrodinger Operators
We investigate spectral properties of limit-periodic SchrÃ¶dinger operators in [cursive l] 2 ([Special characters omitted.] ). Our goal is to exhibit as rich a spectral picture as possible. We regard limit-periodic potentials ...
On the smooth linear section of the Grassmannian Gr(2, n)
In this thesis, we will study the smooth linear section of the Grassmannian Gr(2, n). Explicitly, we give a criterion for the rationality of such linear section in terms of its codimension in the Plü ̈cker embedding in ...
Ritz values and Arnoldi convergence for non-Hermitian matrices
This thesis develops ways of localizing the Ritz values of non-Hermitian matrices. The restarted Arnoldi method with exact shifts, useful for determining a few desired eigenvalues of a matrix, employs Ritz values to refine ...