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On Vector Sequence Transforms And Acceleration Techniques, Steven L. Hodge
On Vector Sequence Transforms And Acceleration Techniques, Steven L. Hodge
Mathematics & Statistics Theses & Dissertations
This dissertation is devoted to the acceleration of convergence of vector sequences. This means to produce a replacement sequence from the original sequence with higher rate of convergence.
It is assumed that the sequence is generated from a linear matrix iteration xi+ i = Gxi + k where G is an n x n square matrix and xI+1 , xi,and k are n x 1 vectors. Acceleration of convergence is obtained when we are able to resolve approximations to low dimension invariant subspaces of G which contain large components of the error. When …