Iterative refinement methods for eigenproblems
The subject of this thesis is the numerical solution of eigenproblems from the point of view of iterative refinement. On the whole, we will be concerned with linear, symmetric problems, but occasionally we will make forays into non-linearity and non-symmetry. The initial goal was to develop a better understanding of Rayleigh quotient iteration (RQI) and its numerical performance. Along the way it was necessary to look at a variety of methods proposed for the iterative refinement of...[Show more]
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