Experimental study of ILU preconditioners for indefinite matrices
Journal of Computational and Applied Mathematics
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
The Design and Use of Algorithms for Permuting Large Entries to the Diagonal of Sparse Matrices
SIAM Journal on Matrix Analysis and Applications
Preconditioning Highly Indefinite and Nonsymmetric Matrices
SIAM Journal on Scientific Computing
On Algorithms For Permuting Large Entries to the Diagonal of a Sparse Matrix
SIAM Journal on Matrix Analysis and Applications
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A Robust and Efficient ILU that Incorporates the Growth of the Inverse Triangular Factors
SIAM Journal on Scientific Computing
Crout Versions of ILU for General Sparse Matrices
SIAM Journal on Scientific Computing
Solving unsymmetric sparse systems of linear equations with PARDISO
Future Generation Computer Systems - Special issue: Selected numerical algorithms
Strategies for Scaling and Pivoting for Sparse Symmetric Indefinite Problems
SIAM Journal on Matrix Analysis and Applications
Multilevel ILU With Reorderings for Diagonal Dominance
SIAM Journal on Scientific Computing
Alternative Weighted Dropping Strategies for ILUTP
SIAM Journal on Scientific Computing
Weighted Matchings for Preconditioning Symmetric Indefinite Linear Systems
SIAM Journal on Scientific Computing
ACM Transactions on Mathematical Software (TOMS)
Symmetric Permutations for I-matrices to Delay and Avoid Small Pivots During Factorization
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics
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Recent advances in multilevel LU factorizations and novel preprocessing techniques have led to an extremely large number of possibilities for preconditioning sparse, unsymmetric linear systems for solving with iterative methods. However, not all combinations work well for all systems, so making the right choices is essential for obtaining an efficient solver. The numerical results for 256 matrices presented in this article give an indication of which approaches are suitable for which matrices (based on different criteria, such as total computation time or fill-in) and of the differences between the methods.