BFSAI-IC

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 27 articles , 1 standard article )

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  1. de Almeida, Moisés Ceni; da Cruz, Julia Sekiguchi; Goldfeld, Paulo; Carvalho, Luiz Mariano; Souza, Michael: Supporting theory for a block approximate inverse preconditioner (2021)
  2. Franceschini, Andrea; Castelletto, Nicola; Ferronato, Massimiliano: Approximate inverse-based block preconditioners in poroelasticity (2021)
  3. Ferronato, Massimiliano; Franceschini, Andrea; Janna, Carlo; Castelletto, Nicola; Tchelepi, Hamdi A.: A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics (2019)
  4. Jia, Zhongxiao; Kang, Wenjie: A transformation approach that makes SPAI, PSAI and RSAI procedures efficient for large double irregular nonsymmetric sparse linear systems (2019)
  5. Ferronato, Massimiliano; Pini, Giorgio: A supernodal block factorized sparse approximate inverse for non-symmetric linear systems (2018)
  6. Franceschini, Andrea; Paludetto Magri, Victor Antonio; Ferronato, Massimiliano; Janna, Carlo: A robust multilevel approximate inverse preconditioner for symmetric positive definite matrices (2018)
  7. Gupta, Anshul: Enhancing performance and robustness of ILU preconditioners by blocking and selective transposition (2017)
  8. Jia, Zhongxiao; Kang, Wenjie: A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems. (2017)
  9. Bu, Yiming; Carpentieri, Bruno; Shen, Zhaoli; Huang, Ting-Zhu: A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems (2016)
  10. Castelletto, Nicola; White, Joshua A.; Ferronato, Massimiliano: Scalable algorithms for three-field mixed finite element coupled poromechanics (2016)
  11. Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio: Parallel Jacobi-Davidson with block FSAI preconditioning and controlled inner iterations. (2016)
  12. Janna, Carlo; Castelletto, Nicola; Ferronato, Massimiliano: The effect of graph partitioning techniques on parallel block FSAI preconditioning: a computational study (2015)
  13. Janna, Carlo; Ferronato, Massimiliano; Sartoretto, Flavio; Gambolati, Giuseppe: FSAIPACK: a software package for high-performance factored sparse approximate inverse preconditioning (2015)
  14. Magoulès, Frédéric; Ahamed, Abal-Kassim Cheik; Putanowicz, Roman: Auto-tuned Krylov methods on cluster of graphics processing unit (2015)
  15. Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio: A generalized block FSAI preconditioner for nonsymmetric linear systems (2014)
  16. Janna, Carlo; Ferronato, Massimilano; Gambolati, Giuseppe: Enhanced block FSAI preconditioning using domain decomposition techniques (2013)
  17. Jia, Zhongxiao; Zhang, Qian: Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning (2013)
  18. Jia, Zhongxiao; Zhang, Qian: An approach to making SPAI and PSAI preconditioning effective for large irregular sparse linear systems (2013)
  19. Bergamaschi, Luca; Martínez, Àngeles: Banded target matrices and recursive FSAI for parallel preconditioning (2012)
  20. Bergamaschi, Luca; Martínez, Angeles; Pini, Giorgio: Parallel Rayleigh quotient optimization with FSAI-based preconditioning (2012)

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