The augmented Block Cimmino algorithm revisited
… In the paper [3] the authors design and study a novel way of improving the computational
efficiency of the block Cimmino method for consistent large sparse linear systems of
equations. They propose an augmenting procedure of the system matrix, such that the
subspaces corresponding to the partitions are orthogonal. This results in a requirement to
solve smaller linear systems in parallel. … As we already mentioned in section 1 we will
present in this section some procedures to construct a row block splitting of A as in (5). This …
efficiency of the block Cimmino method for consistent large sparse linear systems of
equations. They propose an augmenting procedure of the system matrix, such that the
subspaces corresponding to the partitions are orthogonal. This results in a requirement to
solve smaller linear systems in parallel. … As we already mentioned in section 1 we will
present in this section some procedures to construct a row block splitting of A as in (5). This …
In this paper we replay the definitions, constructions and results from [SIAM J. Sci. Comp., 37(3)(2015), A1248-A1269] by completing and developing some of them to inconsistent least squares problems.
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