Multilevel ILU with reorderings for diagonal dominance

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This paper presents a preconditioning method based on combining two-sided permutations with a multilevel approach. The nonsymmetric permutation exploits a greedy strategy to put large entries of the matrix in the diagonal of the upper leading submatrix. The method can be regarded as a complete pivoting version of the incomplete LU factorization. This leads to an effective incomplete factorization preconditioner for general nonsymmetric, irregularly structured, sparse linear systems.

Original languageEnglish (US)
Pages (from-to)1032-1057
Number of pages26
JournalSIAM Journal on Scientific Computing
Issue number3
StatePublished - 2006


  • Complete pivoting
  • ILUT
  • Incomplete LU factorization
  • Krylov subspace methods
  • Multielimination
  • Multilevel ILU preconditioner


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