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Publications about 'Multifrontal method' on CSC

Articles in journal or book chapters

1. E. Agullo, A. Guermouche, and J.-Y. L'Excellent. A parallel out-of-core multifrontal method: Storage of factors on disk and analysis of models for an out-of-core active memory. Parallel Computing, 34(6-8):296-317, 2008. Keyword(s): Out-of-core factorization, Multifrontal method.



2. A. Guermouche and J.-Y. L'Excellent. Constructing memory-minimizing schedules for multifrontal methods. ACM Transactions on Mathematical Software, 32(1):17-32, 2006.



3. S. C. Eisenstat and J. W. H. Liu. A tree-based dataflow model for the unsymmetric multifrontal method. Electronic Transactions on Numerical Analysis, 21:1-19, 2005.



4. T. A. Davis and I. S. Duff. An unsymmetric-pattern multifrontal method for sparse LU factorization. SIAM Journal on Matrix Analysis and Applications, 18(1):140-158, 1997.



5. A. Pothen and C. Sun. A mapping algorithm for parallel sparse Cholesky factorization. SIAM Journal on Scientific Computing, 14(5):1253-1257, 1993. Keyword(s): Multifrontal method, Cholesky factorization, Task scheduling, Proportional mapping.



6. J. W. H. Liu. The multifrontal method for sparse matrix solution: Theory and practice. SIAM Review, 34(1):82-109, 1992.



7. C. Ashcraft and R. Grimes. The influence of relaxed supernode partitions on the multifrontal method. ACM Transactions on Mathematical Software, 15(4):291-309, 1989. Keyword(s): Multifrontal method, Supernode, Fundamental supernode, Relaxed supernode.



8. J. W. H. Liu. Equivalent sparse matrix reordering by elimination tree rotations. SIAM Journal on Scientific and Statistical Computing, 9(3):424-444, 1988. Keyword(s): Multifrontal method, Elimination tree, Equivalent reordering, Out-of-core factorization, Cholesky factorization.



9. J. W. H. Liu. On the storage requirement in the out-of-core multifrontal method for sparse factorization. ACM Transactions on Mathematical Software, 12(3):249-264, 1986.

Conference articles

1. E. Agullo, A. Guermouche, and J.-Y. L'Excellent. Reducing the I/O volume in an out-of-core sparse multifrontal solver. In S. Aluru, M. Parashar, R. Badrinath, and V. K. Prasanna, editors, High Performance Computing -- HiPC2007; 14th International Conference, volume 4873 of Lecture Notes in Computer Science, pages 260-280, 2007. Keyword(s): Out-of-core factorization, Multifrontal method, Task scheduling, Elimination tree.

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Last modified: Wed Jul 21 11:49:20 2010
Author: Bora Uçar.