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TOMS
2011
84views more  TOMS 2011»
13 years 6 months ago
A Supernodal Approach to Incomplete LU Factorization with Partial Pivoting
We present a new supernode-based incomplete LU factorization method to construct a preconditioner for solving sparse linear systems with iterative methods. The new algorithm is pr...
Xiaoye S. Li, Meiyue Shao
SPAA
1998
ACM
14 years 3 months ago
Elimination Forest Guided 2D Sparse LU Factorization
Sparse LU factorization with partial pivoting is important for many scienti c applications and delivering high performance for this problem is di cult on distributed memory machin...
Kai Shen, Xiangmin Jiao, Tao Yang
TOMS
2008
80views more  TOMS 2008»
13 years 10 months ago
Updating an LU Factorization with Pivoting
We show how to compute an LU factorization of a matrix when the factors of a leading principle submatrix are already known. The approach incorporates pivoting akin to partial pivo...
Enrique S. Quintana-Ortí, Robert A. van de ...
PPAM
2007
Springer
14 years 5 months ago
A Supernodal Out-of-Core Sparse Gaussian-Elimination Method
Abstract. We present an out-of-core sparse direct solver for unsymmetric linear systems. The solver factors the coefficient matrix A into A = PLU using Gaussian elimination with pa...
Sivan Toledo, Anatoli Uchitel
ICS
2005
Tsinghua U.
14 years 4 months ago
Parallel sparse LU factorization on second-class message passing platforms
Several message passing-based parallel solvers have been developed for general (non-symmetric) sparse LU factorization with partial pivoting. Due to the fine-grain synchronizatio...
Kai Shen