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A Preconditioned Variant of the Refined Arnoldi Method for …

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WebEager to contribute to non-governmental organizations and institutional development, to expand my teaching skills and to contribute to a better understanding of the Middle … Webalgorithm for Arnoldi iteration will be similar to that for the modi ed Gram-Schmidt algorithm: Algorithm (Arnoldi Iteration) Let b be an arbitrary initial vector q 1 = b=kbk 2 for n= 1;2;3;::: v = Aq n for j= 1 : n h jn= q j v v = v h jnq j end h n+1;n= kvk 2 q n+1 = v=h n+1;n end Remark The most expensive operation in the algorithm is the ... http://math.iit.edu/~fass/477577_Chapter_14.pdf chucksmith.org