BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices The purpose of this paper is to give an overview and background on multigrid preconditioning techniques. This preconditioner combines a high accuracy in complete LU factorization with an algebraic multilevel recursive reduction. This is implemented which is shown to be efficient and illustrated by a number of experiments.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 36 articles , 1 standard article )

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  1. Salkuyeh, Davod Khojasteh; Rafiei, Amin; Roohani, Hadi: ILU preconditioning based on the FAPINV algorithm (2015)
  2. Carpentieri, Bruno; Liao, Jia; Sosonkina, Masha: VBARMS: a variable block algebraic recursive multilevel solver for sparse linear systems (2014)
  3. Ferronato, Massimiliano: Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives (2012)
  4. Geng, Xinyu; Wang, Yin; Lee, Jeonghwa; Zhang, Jun: Stabilizing block diagonal preconditioners for complex dense matrices in electromagnetics (2010)
  5. Maclachlan, Scott; Saad, Yousef: Greedy coarsening strategies for nonsymmetric problems (2007)
  6. Wang, Yin; Lee, Jeonghwa; Zhang, Jun: A short survey on preconditioning techniques for large-scale dense complex linear systems in electromagnetics (2007)
  7. Li, Zhongze; Saad, Yousef: SchurRAS: A restricted version of the overlapping Schur complement preconditioner (2006)
  8. Shen, Chi; Zhang, Jun: Performance study and analysis of parallel multilevel preconditioners (2006)
  9. Guessous, N.; Souhar, O.: The effect of block red-black ordering on block ILU preconditioner for sparse matrices (2005)
  10. Saad, Yousef: Multilevel ILU with reorderings for diagonal dominance (2005)
  11. Shen, Chi; Zhang, Jun; Wang, Kai: Distributed block independent set algorithms and parallel multilevel ILU preconditioners (2005)
  12. Shi, Yuying; Chang, Qianshun: Remark on convergence of algebraic multigrid in the form of matrix decomposition (2005)
  13. Guessous, N.; Souhar, O.: Recursive two-level ILU preconditioner for nonsymmetric M-matrices (2004)
  14. Saad, Yousef; Soulaimani, Azzeddine; Touihri, Ridha: Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems (2004)
  15. Little, Leigh; Saad, Yousef: Block preconditioners for saddle point problems (2003)
  16. Little, Leigh; Saad, Yousef; Smoch, Laurent: Block LU preconditioners for symmetric and nonsymmetric saddle point problems (2003)
  17. Li, Zhongze; Saad, Yousef; Sosonkina, Masha: pARMS: a parallel version of the algebraic recursive multilevel solver. (2003)
  18. Wang, Kai; Zhang, Jun: MSP: A class of parallel multistep successive sparse approximate inverse preconditioning strategies (2003)
  19. Zhang, Jun; Xiao, Tong: A multilevel block incomplete Cholesky preconditioner for solving normal equations in linear least squares problems (2003)
  20. Benzi, Michele: Preconditioning techniques for large linear systems: A survey (2002)

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