A Multilevel Dual Reordering Strategy for Robust Incomplete LU Factorization of Indefinite Matrices

@article{Zhang2001AMD,
  title={A Multilevel Dual Reordering Strategy for Robust Incomplete LU Factorization of Indefinite Matrices},
  author={Jun Zhang},
  journal={SIAM J. Matrix Anal. Appl.},
  year={2001},
  volume={22},
  pages={925-947}
}
  • Jun Zhang
  • Published 1 June 2000
  • Computer Science
  • SIAM J. Matrix Anal. Appl.
A dual reordering strategy based on both threshold and graph reorderings is introduced to construct robust incomplete LU (ILU) factorization of indefinite matrices. The ILU matrix is constructed as a preconditioner for the original matrix to be used in a preconditioned iterative scheme. The matrix is first divided into two parts according to a threshold parameter to control diagonal dominance. The first part with large diagonal dominance is reordered using a graph-based strategy, followed by an… 

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