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Recent advances in sparse direct solvers

Agullo, Emmanuel and Amestoy, Patrick and Buttari, Alfredo and Guermouche, Abdou and Joslin, Guillaume and L'Excellent, Jean-Yves and Li, Xiaoye Sherry and Napov, Artem and Rouet, François-Henry and Sid-Lakhdar, Mohamed and Wang, Shen and Weisbecker, Clément and Yamazaki, Ichitaro Recent advances in sparse direct solvers. (2013) In: 22nd Conference on Structural Mechanics in Reactor Technology (SMIRT 2013), 18 August 2013 - 23 August 2013 (San Francisco, United States).

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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.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to International Association for Structural Mechanics in Reactor Technology This papers appears in Division III of Proceedings of 22nd Conference on Structural Mechanics in Reactor Technology ISBN: 9781632667625 The original PDF is available at: https://crd.lbl.gov/assets/pubs_presos/paper3.pdf
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Other partners > Airbus (FRANCE)
French research institutions > Centre National des Etudes Spatiales - CNES (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > EDF (FRANCE)
Other partners > Ecole Normale Supérieure de Lyon - ENS de Lyon (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Other partners > Purdue University (USA)
Other partners > Total (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Other partners > Université Libre de Bruxelles - ULB (BELGIUM)
Other partners > Météo France (FRANCE)
Other partners > SAFRAN (FRANCE)
Other partners > University of California - UC Berkeley (USA)
Other partners > Université de Bordeaux (FRANCE)
Other partners > University of Tennessee - UT (USA)
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Deposited By: IRIT IRIT
Deposited On:04 Jul 2016 13:33

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