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THE AUGMENTED BLOCK CIMMINO DISTRIBUTED METHOD
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DOI：10.1137/140961444.png)
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Abstract
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We introduce and study a novel way of accelerating the convergence of the block Cimmino method by augmenting the matrix so that the subspaces corresponding to the partitions are orthogonal. This results in a requirement to solve a relatively smaller symmetric positive definite system. We discuss several issues involved in a parallel implementation and illustrate the performance of our method on some realistic test problems.
Keywords:
hybrid methods
distributed solver
sparse matrices
row-projection techniques
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