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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.
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https://hal.inria.fr/hal-01060301
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Submitted on : Monday, July 11, 2022 - 4:10:23 PM
Last modification on : Friday, November 18, 2022 - 9:27:49 AM

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  • HAL Id : hal-01060301, version 1
  • OATAO : 15162

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Emmanuel Agullo, Patrick Amestoy, Alfredo Buttari, Abdou Guermouche, Guillaume Joslin, et al.. Recent advances in sparse direct solvers. 22nd International Conference on Structural Mechanics in Reactor Technology (SMiRT 2013), Aug 2013, San Francisco, United States. pp.1-10. ⟨hal-01060301⟩

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