Lenard, Christopher Thomas
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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