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Showing 1 to 5 of 5 for “"Iterative methods (Mathematics)"”.
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Restarting the Lanczos algorithm for large eigenvalue problems and linear equations.
We are interested in computing eigenvalues and eigenvectors of large matrices and in solving large systems of linear equations. Restarted versions of both the symmetric and nonsymmetric Lanczos algorithms are given. For the symmetric case, we give a method called Lan-DR that simultaneously solves …
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Preconditioners constructed from the interpolative decomposition for the variable coefficient Poisson problem
… simpler subdomains. When solving these problems iteratively, it becomes important to be able to precondition the coupling between the subdomains. Using the Poisson problem as a test case, this thesis explores one idea for preconditioning this coupling, an idea based on interpolative decomposition …
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Examples and Applications of Infinite Iterated Function Systems
The aim of this work is the study of infinite conformal iterated function systems. More specifically, we investigate some properties of a limit set J associated to such system, its Hausdorff and packing measure and Hausdorff dimension. We provide necessary and sufficient conditions for such systems …