Recent advances in sparse direct solvers

Abstract : Direct methods for the solution of sparse systems of linear equations of the form A x = b are used in a wide range of numerical simulation applications. Such methods are based on the decomposition of the matrix into a product of triangular factors (e.g., A = L U ), followed by triangular solves. They are known for their numerical accuracy and robustness but are also characterized by a high memory consumption and a large amount of computations. Here we survey some research directions that are being investigated by the sparse direct solver community to alleviate these issues: memory-aware scheduling techniques, low-rank approximations, and distributed/shared memory hybrid programming.
Type de document :
Communication dans un congrès
SMiRT 2013 - 22nd International Conference on Structural Mechanics in Reactor Technology, Aug 2013, San Francisco, United States. pp.1-10, 2013, Nuclear Engineering and Design. 〈www.iasmirt.org/transactions/22/Pap_819_ver_3.pdf〉
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Contributeur : Equipe Roma <>
Soumis le : mercredi 3 septembre 2014 - 13:20:56
Dernière modification le : mercredi 12 septembre 2018 - 17:46:04

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  • HAL Id : hal-01060301, version 1

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Emmanuel Agullo, Patrick R. Amestoy, Alfredo Buttari, Abdou Guermouche, Guillaume Joslin, et al.. Recent advances in sparse direct solvers. SMiRT 2013 - 22nd International Conference on Structural Mechanics in Reactor Technology, Aug 2013, San Francisco, United States. pp.1-10, 2013, Nuclear Engineering and Design. 〈www.iasmirt.org/transactions/22/Pap_819_ver_3.pdf〉. 〈hal-01060301〉

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