TY - BOOK AU - Zhou, Ming PY - 2020 DA - 2020// TI - A priori convergence analysis for Krylov subspace eigensolvers PB - Universität Rostock CY - Rostock AB - This thesis contributes to the convergence theory of Krylov subspace eigensolvers for discretized self-adjoint elliptic differential operators. A central topic refers to a priori convergence estimates with weak assumptions and concise bounds, which can reasonably predict the convergence rate, in particular for clustered eigenvalues. By avoiding the dependence on current approximate eigenvalues, such estimates significantly improve certain state-of-the-art estimates with regard to their sharpness and applicability. UR - http://purl.uni-rostock.de/rosdok/id00003125 UR - https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00003125-0 UR - https://d-nb.info/1293534358/34 UR - https://doi.org/10.18453/rosdok_id00003125 DO - 10.18453/rosdok_id00003125 LA - English N1 - vorgelegt von Ming Zhou ID - 1766770762 ER -