Fichiers creux

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Domain : Computer Science [cs]. This flat, non-hierarchical, compression method allows to take advantage of the low-rank property of the blocks appearing during the factorization of sparse linear systems. Have you forgotten your login? Hide details. Contact archive-ouverte inria. On the use of low-rank arithmetic to reduce the complexity of parallel sparse linear solvers based on direct factorization techniques.

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    The proposed solver can be used either as a direct solver at a lower precision or as a very robust preconditioner.

    Keywords : Linear sparse direct solver Block low-rank compression Parallelism Ordering.

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    Computer Science [cs]. Have you forgotten your login? Both reordering and clustering where designed for the flat BLR representation but are also a first step to move to hierarchical formats. See related files.

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    images fichiers creux
    Fichiers creux
    Keywords : Linear sparse direct solver Block low-rank compression Parallelism Ordering. Hide details. Domain : Computer Science [cs].

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    Computer Science [cs]. Publications, software Metrics Record views. This flat, non-hierarchical, compression method allows to take advantage of the low-rank property of the blocks appearing during the factorization of sparse linear systems.

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    This flat, non-hierarchical, compression method allows to take advantage of the low-rank property of the blocks appearing during the factorization of sparse linear systems.

    HAL-Inria Publications, software Both reordering and clustering where designed for the flat BLR representation but are also a first step to move to hierarchical formats.

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    Publications, software Have you forgotten your login? Contact archive-ouverte inria. The first approach, called Minimal Memory, illustrates the maximum memory gain that can be obtained with the BLR compression method, while the second approach, called Just-In-Time, mainly focuses on reducing the computational complexity and thus the time-to-solution.

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    Document type : Theses. From this approach, we propose in the third part of this manuscript a new low-rank clustering technique that is designed to cluster unknowns within a separator to obtain the BLR partition, and demonstrate its assets with respect to widely used clustering strategies.

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    In the second part, we present a reordering strategy that increases the block granularity to better take advantage of the locality for multicores and provide larger tasks to GPUs. For other approaches, such as iterative methods, general black-box preconditioners that can ensure fast convergence for a wide range of problems are still missing. Keywords : Linear sparse direct solver Block low-rank compression Parallelism Ordering.

    3 Replies to “Fichiers creux”
    1. On the use of low-rank arithmetic to reduce the complexity of parallel sparse linear solvers based on direct factorization techniques. Abstract : Solving sparse linear systems is a problem that arises in many scientific applications, and sparse direct solvers are a time consuming and key kernel for those applications and for more advanced solvers such as hybrid direct-iterative solvers.

    2. From this approach, we propose in the third part of this manuscript a new low-rank clustering technique that is designed to cluster unknowns within a separator to obtain the BLR partition, and demonstrate its assets with respect to widely used clustering strategies. See related files.

    3. For those reasons, optimizing their performance on modern architectures is critical. Identifiers HAL Id : tel, version 1.