ACM Transactions on Mathematical Software (TOMS)
Design, Tuning and Evaluation of Parallel Multilevel ILU Preconditioners
High Performance Computing for Computational Science - VECPAR 2008
Adaptive Techniques for Improving the Performance of Incomplete Factorization Preconditioning
SIAM Journal on Scientific Computing
Improved Balanced Incomplete Factorization
SIAM Journal on Matrix Analysis and Applications
VBARMS: A variable block algebraic recursive multilevel solver for sparse linear systems
Journal of Computational and Applied Mathematics
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In this paper we present a new ILU decomposition which is based on an existing sparse direct solver. In contrast to many incomplete LU decompositions this ILU incorporates information about the inverse factors L-1 and U-1 which have direct influence on the dropping strategy. We demonstrate in several large scale examples that this implementation constructs a robust preconditioner.