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 21 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. Jia, Zhongxiao; Kang, Wenjie: A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems. (2017)
  3. Bu, Yiming; Carpentieri, Bruno; Shen, Zhaoli; Huang, Ting-Zhu: A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems (2016)
  4. Castelletto, Nicola; White, Joshua A.; Ferronato, Massimiliano: Scalable algorithms for three-field mixed finite element coupled poromechanics (2016)
  5. Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio: Parallel Jacobi-Davidson with block FSAI preconditioning and controlled inner iterations. (2016)
  6. Janna, Carlo; Castelletto, Nicola; Ferronato, Massimiliano: The effect of graph partitioning techniques on parallel block FSAI preconditioning: a computational study (2015)
  7. Janna, Carlo; Ferronato, Massimiliano; Sartoretto, Flavio; Gambolati, Giuseppe: FSAIPACK: a software package for high-performance factored sparse approximate inverse preconditioning (2015)
  8. Magoulès, Frédéric; Ahamed, Abal-Kassim Cheik; Putanowicz, Roman: Auto-tuned Krylov methods on cluster of graphics processing unit (2015)
  9. Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio: A generalized block FSAI preconditioner for nonsymmetric linear systems (2014)
  10. Janna, Carlo; Ferronato, Massimilano; Gambolati, Giuseppe: Enhanced block FSAI preconditioning using domain decomposition techniques (2013)
  11. Jia, Zhongxiao; Zhang, Qian: Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning (2013)
  12. Jia, Zhongxiao; Zhang, Qian: An approach to making SPAI and PSAI preconditioning effective for large irregular sparse linear systems (2013)
  13. Bergamaschi, Luca; Martínez, Àngeles: Banded target matrices and recursive FSAI for parallel preconditioning (2012)
  14. Bergamaschi, Luca; Martínez, Angeles; Pini, Giorgio: Parallel Rayleigh quotient optimization with FSAI-based preconditioning (2012)
  15. Chen, Xi; Phoon, Kok Kwang: Applications of symmetric and nonsymmetric MSSOR preconditioners to large-scale Biot’s consolidation problems with nonassociated plasticity (2012)
  16. Ferronato, Massimiliano: Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives (2012)
  17. Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio: Efficient parallel solution to large-size sparse eigenproblems with block FSAI preconditioning. (2012)
  18. Pereira, Fabio Henrique; Nabeta, Sílvio Ikuyo: A parallel wavelet-based algebraic multigrid black-box solver and preconditioner (2012)
  19. Janna, Carlo; Ferronato, Massimiliano: Adaptive pattern research for block FSAI preconditioning (2011)
  20. 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)

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