TY - JOUR
T1 - Iterative ILU Preconditioners for Linear Systems and Eigenproblems
AU - Boffi , Daniele
AU - Lu , Zhongjie
AU - Pavarino , Luca F.
JO - Journal of Computational Mathematics
VL - 4
SP - 633
EP - 654
PY - 2021
DA - 2021/06
SN - 39
DO - http://doi.org/10.4208/jcm.2009-m2020-0138
UR - https://global-sci.org/intro/article_detail/jcm/19262.html
KW - Iterative ILU factorization, Matrix-matrix multiplication, Fill-in, Eigenvalue problem, Parallel preconditioner.
AB - <p style="text-align: justify;">Iterative ILU factorizations are constructed, analyzed and applied as preconditioners
to solve both linear systems and eigenproblems. The computational kernels of these novel
Iterative ILU factorizations are sparse matrix-matrix multiplications, which are easy and
efficient to implement on both serial and parallel computer architectures and can take full
advantage of existing matrix-matrix multiplication codes. We also introduce level-based
and threshold-based algorithms in order to enhance the accuracy of the proposed Iterative
ILU factorizations. The results of several numerical experiments illustrate the efficiency of
the proposed preconditioners to solve both linear systems and eigenvalue problems.</p>