A Block FSAI-ILU parallel preconditioner for symmetric positive definite linear systems. The paper is concerned with a novel parallel preconditioner for symmetric positive definite matrices. It combines a generalized factored sparse approximate inverse (FSAI) with an incomplete LU (ILU) factorization. The block version of their FSAI-ILU preconditioner proves superior to both FSAI and the incomplete block Jacobi by themselves.

References in zbMATH (referenced in 16 articles , 1 standard article )

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  1. Gupta, Anshul: Enhancing performance and robustness of ILU preconditioners by blocking and selective transposition (2017)
  2. Bu, Yiming; Carpentieri, Bruno; Shen, Zhaoli; Huang, Ting-Zhu: A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems (2016)
  3. Janna, Carlo; Castelletto, Nicola; Ferronato, Massimiliano: The effect of graph partitioning techniques on parallel block FSAI preconditioning: a computational study (2015)
  4. Magoulès, Frédéric; Ahamed, Abal-Kassim Cheik; Putanowicz, Roman: Auto-tuned Krylov methods on cluster of graphics processing unit (2015)
  5. Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio: A generalized block FSAI preconditioner for nonsymmetric linear systems (2014)
  6. Janna, Carlo; Ferronato, Massimilano; Gambolati, Giuseppe: Enhanced block FSAI preconditioning using domain decomposition techniques (2013)
  7. Jia, Zhongxiao; Zhang, Qian: An approach to making SPAI and PSAI preconditioning effective for large irregular sparse linear systems (2013)
  8. Jia, Zhongxiao; Zhang, Qian: Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning (2013)
  9. Bergamaschi, Luca; Martínez, Àngeles: Banded target matrices and recursive FSAI for parallel preconditioning (2012)
  10. Bergamaschi, Luca; Martínez, Angeles; Pini, Giorgio: Parallel Rayleigh quotient optimization with FSAI-based preconditioning (2012)
  11. Chen, Xi; Phoon, Kok Kwang: Applications of symmetric and nonsymmetric MSSOR preconditioners to large-scale Biot’s consolidation problems with nonassociated plasticity (2012)
  12. Ferronato, Massimiliano: Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives (2012)
  13. Pereira, Fabio Henrique; Nabeta, Sílvio Ikuyo: A parallel wavelet-based algebraic multigrid black-box solver and preconditioner (2012)
  14. Janna, Carlo; Ferronato, Massimiliano: Adaptive pattern research for block FSAI preconditioning (2011)
  15. Lange, Kyle J.; Misra, Chinmay; Sui, Pang-Chieh; Djilali, Ned: A numerical study on preconditioning and partitioning schemes for reactive transport in a PEMFC catalyst layer (2011)
  16. Janna, Carlo; Ferronato, Massimilano; Gambolati, Giuseppe: A block FSAI-ILU parallel preconditioner for symmetric positive definite linear systems (2010)