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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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Submitted on : Wednesday, September 3, 2014 - 1:20:56 PM
Last modification on : Tuesday, October 19, 2021 - 2:24:13 PM


  • HAL Id : hal-01060301, version 1


Emmanuel Agullo, Patrick 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. ⟨hal-01060301⟩



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