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Motivations and Principles | The memory usage of sparse direct solvers can be the bottleneck to solve large-scale problems. The out-of-core approach consists in extending the core memory by disks. |  | Results We have developed a prototype of an out-of-core extension to a parallel multifrontal solver (MUMPS). We show that, by storing the factors to disk, larger problems can be solved on limited-memory machines with reasonable performance (see article in EuroPar'06). We have illustrated the impact of low-level IO mechanisms on the behaviour of our parallel out-of-core factorization. Then have used simulations to discuss how our algorithms can be modified to solve much larger problems at the cost of increasing the volume of disk access (see article in RenPar'06).
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