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Bibliography
Agullo E (2008) On the out-of-core factorization of large sparse matrices. PhD thesis, École Normale Supérieure de Lyon, France, November 2008
Agullo E, Guermouche A, L’Excellent J-Y (2008) A parallel out-of-core multifrontal method: storage of factors on disk and analysis of models for an out-of-core active memory. Parallel Comput 34(6–8):296–317
Agullo E, Guermouche A, L’Excellent J-Y (2009) Reducing the I/O volume in sparse out-of-core multifrontal methods. SIAM J Sci Comput, to appear
Amestoy P, Duff I, Guermouche A, Slavova T (2009) Analysis of the solution phase of a parallel multifrontal approach. Parallel Comput 2009. doi: 10.1016/j.parco.2009.06.001
Amestoy PR (1991) Factorization of large sparse matrices based on a multifrontal approach in a multiprocessor environment. INPT PhD thesis TH/PA/91/2, CERFACS, Toulouse, France
Amestoy PR, Buttari A, L’Excellent J-Y (2008) Towards a parallel analysis phase for a multifrontal sparse solver. June 2008. Presentation at the 5th International workshop on Parallel Matrix Algorithms and Applications (PMAA’08)
Amestoy PR, Duff IS, L’Excellent J-Y (1998) Multifrontal solvers within the PARASOL environment. In: Kågström B, Dongarra J, Elmroth E, Waśniewski J (eds) Applied parallel computing, PARA’98, Lecture Notes in Computer Science, No. 1541, pp 7–11, 1998. Springer, Berlin
Amestoy PR, Duff IS, L’Excellent J-Y, Koster J (2001) A fully asynchronous multifrontal solver using distributed dynamic scheduling. SIAM J Matrix Anal A 23(1):15–41
Amestoy PR, Duff IS, Vömel C (2005) Task scheduling in an asynchronous distributed memory multifrontal solver. SIAM J Matrix Anal A 26:544–565
Amestoy PR, Guermouche A, L’Excellent J-Y, Pralet S (2006) Hybrid scheduling for the parallel solution of linear systems. Parallel Comput 32(2):136–156
Duff IS (1986) Parallel implementation of multifrontal schemes. Parallel Comput 3:193–204
Duff IS, Pralet S (2007) Strategies for scaling and pivoting for sparse symmetric indefinite problems. SIAM J Matrix Anal A 27(2):313–340
Duff IS Pralet S (2007) Towards stable mixed pivoting strategies for the sequential and parallel solution of sparse symmetric indefinite systems. SIAM J Matrix Anal A 29(3): 1007–1024
Duff IS, Reid JK (1984) The multifrontal solution of unsymmetric sets of linear systems. SIAM J Sci Stat Comput 5:633–641
Espirat V (1996) Développement d’une approche multifrontale pour machines a mémoire distribuée et réseau hétérogène de stations de travail. Technical Report Master thesis, ENSEEIHT-IRIT
Guermouche A (2004) Études et optimisation du comportement mémoire dans les méthodes parallèles de factorisation de matrices creuses. PhD thesis, ENS Lyon, France
Guermouche A, L’Excellent J-Y (2005) A study of various load information exchange mechanisms for a distributed application using dynamic scheduling. In: 19th International Parallel and Distributed Processing Symposium (IPDPS’05)
Guermouche A, L’Excellent J-Y (2006) Constructing memoryminimizing schedules for multifrontal methods. ACM T Math Software 32(1):17–32
Guermouche A, L’Excellent J-Y, Utard G (2003) Impact of reordering on the memory of a multifrontal solver. Parallel Comput 29(9):1191–1218
Liu JWH (1986) On the storage requirement in the out-of-core multifrontal method for sparse factorization. ACM T Math Software 12(3):249–264
Pralet S (2004) Constrained orderings and scheduling for parallel sparse linear algebra. Phd thesis, Institut National Polytechnique de Toulouse, September 2004. CERFACS Technical Report, TH/PA/04/105
Slavova Tz (2009) Parallel triangular solution in the out-of-core multifrontal approach for solving large sparse linear system. PhD thesis, Institut National Polytechnique de Toulouse, 2009. CERFACS Technical Report, TH/PA/09/59
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Amestoy, P., Buttari, A., Duff, I., Guermouche, A., L’Excellent, JY., Uçar, B. (2011). Mumps. In: Padua, D. (eds) Encyclopedia of Parallel Computing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-09766-4_204
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