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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 ...
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 ...