Dynamic Restarting Schemes For Eigenvalue Problems

Kesheng Wu and Horst Simon


In studies of restarted Davidson method, a dynamic thick-restart scheme was found to be excellent in improving the overall effectiveness of the eigenvalue method. This paper extends the study of the dynamic thick-restart scheme to the Lanczos method for symmetric eigenvalue problems and systematically explore a range of heuristics and strategies. We conduct a series of numerical tests to determine their relative strength and weakness on a class of electronic structure calculation problems.

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