Recent advances in direct methods for solving unsymmetric sparse systems of linear equations
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[1] Joseph W. H. Liu,et al. Exploiting Structural Symmetry in a Sparse Partial Pivoting Code , 1993, SIAM J. Sci. Comput..
[2] Laura Grigori,et al. Using postordering and static symbolic factorization for parallel sparse LU , 2000, Proceedings 14th International Parallel and Distributed Processing Symposium. IPDPS 2000.
[3] Iain S. Duff,et al. The Multifrontal Solution of Unsymmetric Sets of Linear Equations , 1984 .
[4] Timothy A. Davis,et al. A combined unifrontal/multifrontal method for unsymmetric sparse matrices , 1999, TOMS.
[5] GuptaAnshul. Fast and effective algorithms for graph partitioning and sparse-matrix ordering , 1997 .
[6] Iain S. Duff,et al. On Algorithms For Permuting Large Entries to the Diagonal of a Sparse Matrix , 2000, SIAM J. Matrix Anal. Appl..
[7] Patrick Amestoy,et al. Memory Management Issues in Sparse Multifrontal Methods On Multiprocessors , 1993, Int. J. High Perform. Comput. Appl..
[8] E. Ng,et al. Predicting structure in nonsymmetric sparse matrix factorizations , 1993 .
[9] Friedrich Grund. Direct Linear Solvers for Vector and Parallel Computers , 1998, VECPAR.
[10] Patrick Amestoy,et al. An Unsymmetrized Multifrontal LU Factorization , 2000, SIAM J. Matrix Anal. Appl..
[11] Anshul Gupta,et al. Improved Symbolic and Numerical Factorization Algorithms for Unsymmetric Sparse Matrices , 2002, SIAM J. Matrix Anal. Appl..
[12] Patrick R. Amestoy,et al. An Approximate Minimum Degree Ordering Algorithm , 1996, SIAM J. Matrix Anal. Appl..
[13] Patrick Amestoy,et al. A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling , 2001, SIAM J. Matrix Anal. Appl..
[14] Timothy A. Davis,et al. A column approximate minimum degree ordering algorithm , 2000, TOMS.
[15] Iain S. Duff,et al. The Design and Use of Algorithms for Permuting Large Entries to the Diagonal of Sparse Matrices , 1999, SIAM J. Matrix Anal. Appl..
[16] M. SIAMJ.,et al. IMPROVED SYMBOLIC AND NUMERICAL FACTORIZATION ALGORITHMS FOR UNSYMMETRIC SPARSE MATRICES , 2002 .
[17] James Demmel,et al. An Asynchronous Parallel Supernodal Algorithm for Sparse Gaussian Elimination , 1997, SIAM J. Matrix Anal. Appl..
[18] J. Pasciak,et al. Computer solution of large sparse positive definite systems , 1982 .
[19] Anshul Gupta. A HIGH-PERFORMANCE GEPP-BASED SPARSE SOLVER , 2002 .
[20] A. George. Nested Dissection of a Regular Finite Element Mesh , 1973 .
[21] Alan George,et al. Computer Solution of Large Sparse Positive Definite , 1981 .
[22] D. Rose,et al. Generalized nested dissection , 1977 .
[23] Steven M. Hadfield. On The LU Factorization Of Sequences Of Identically Structured Sparse Matrices Within A Distributed , 1994 .
[24] Robert E. Tarjan,et al. Depth-First Search and Linear Graph Algorithms , 1972, SIAM J. Comput..
[25] A. George,et al. An Implementation of Gaussian Elimination with Partial Pivoting for Sparse Systems , 1985 .
[26] James Demmel,et al. Making Sparse Gaussian Elimination Scalable by Static Pivoting , 1998, Proceedings of the IEEE/ACM SC98 Conference.
[27] Jean-Yves L'Excellent,et al. Analysis, tuning and comparison of two general sparse solvers for distributed memory computers , 2000 .
[28] Patrick R. Amestoy,et al. Analysis and comparison of two general sparse solvers for distributed memory computers , 2001, TOMS.
[29] Wolfgang Fichtner,et al. PARDISO: a high-performance serial and parallel sparse linear solver in semiconductor device simulation , 2001, Future Gener. Comput. Syst..
[30] Patrick R. Amestoy,et al. Multifrontal parallel distributed symmetric and unsymmetric solvers , 2000 .
[31] Wolfgang Fichtner,et al. Scalable Parallel Sparse LU Factorization with a Dynamical Supernode Pivoting Approach in Semiconductor Device , 2000 .
[32] Joseph W. H. Liu. The role of elimination trees in sparse factorization , 1990 .
[33] Cleve Ashcraft,et al. SPOOLES: An Object-Oriented Sparse Matrix Library , 1999, PPSC.
[34] Tao Yang,et al. S+: Efficient 2D Sparse LU Factorization on Parallel Machines , 2000, SIAM J. Matrix Anal. Appl..
[35] Patrick Amestoy,et al. Vectorization of a Multiprocessor Multifrontal Code , 1989, Int. J. High Perform. Comput. Appl..
[36] Joseph W. H. Liu,et al. Elimination Structures for Unsymmetric Sparse $LU$ Factors , 1993, SIAM J. Matrix Anal. Appl..
[37] James Demmel,et al. A Scalable Sparse Direct Solver Using Static Pivoting , 1999, PPSC.
[38] I. Duff,et al. Direct Methods for Sparse Matrices , 1987 .
[39] Timothy A. Davis,et al. An Unsymmetric-pattern Multifrontal Method for Sparse Lu Factorization , 1993 .
[40] Joseph W. H. Liu,et al. Robust Ordering of Sparse Matrices using Multisection , 1998 .
[41] Anshul Gupta,et al. An experimental comparison of some direct sparse solver packages , 2001, Proceedings 15th International Parallel and Distributed Processing Symposium. IPDPS 2001.
[42] Joseph W. H. Liu,et al. Modification of the minimum-degree algorithm by multiple elimination , 1985, TOMS.
[43] Vipin Kumar,et al. A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..
[44] J. K. Reid,et al. MA48: A FORTRAN code for direct solution of sparse unsymmetric linear systems of equations , 1993 .
[45] Joseph W. H. Liu,et al. Robust Ordering of Sparse Matrices using Multisection , 1998, SIAM J. Matrix Anal. Appl..
[46] Joseph W. H. Liu,et al. The Multifrontal Method for Sparse Matrix Solution: Theory and Practice , 1992, SIAM Rev..
[47] Anshul Gupta,et al. Fast and effective algorithms for graph partitioning and sparse-matrix ordering , 1997, IBM J. Res. Dev..